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2694785040 = 2432510137057
BaseRepresentation
bin1010000010011111…
…0010100000010000
320221210201021010100
42200213302200100
521004331110130
61123222332400
7123531203103
oct24047624020
96853637110
102694785040
111163154982
1263258a100
1333c3abb7c
141b7c7673a
1510b8a4c60
hexa09f2810

2694785040 has 120 divisors (see below), whose sum is σ = 9139836888. Its totient is φ = 711475200.

The previous prime is 2694784973. The next prime is 2694785047. The reversal of 2694785040 is 405874962.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1607368464 + 1087416576 = 40092^2 + 32976^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2694785047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54192 + ... + 91248.

Almost surely, 22694785040 is an apocalyptic number.

2694785040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2694785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569918444).

2694785040 is an abundant number, since it is smaller than the sum of its proper divisors (6445051848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2694785040 is a wasteful number, since it uses less digits than its factorization.

2694785040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37177 (or 37168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2694785040 is about 51911.3189969201. The cubic root of 2694785040 is about 1391.5795648610.

The spelling of 2694785040 in words is "two billion, six hundred ninety-four million, seven hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 404 505 606 720 808 909 1010 1212 1515 1616 1818 2020 2424 3030 3636 4040 4545 4848 6060 7272 8080 9090 12120 14544 18180 24240 36360 37057 72720 74114 111171 148228 185285 222342 296456 333513 370570 444684 555855 592912 667026 741140 889368 1111710 1334052 1482280 1667565 1778736 2223420 2668104 2964560 3335130 3742757 4446840 5336208 6670260 7485514 8893680 11228271 13340520 14971028 18713785 22456542 26681040 29942056 33684813 37427570 44913084 56141355 59884112 67369626 74855140 89826168 112282710 134739252 149710280 168424065 179652336 224565420 269478504 299420560 336848130 449130840 538957008 673696260 898261680 1347392520 2694785040