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2502540040 = 2357111362501
BaseRepresentation
bin1001010100101001…
…1011101100001000
320110101222012120011
42111022123230020
520111122240130
61052154041304
7116005145050
oct22512335410
96411865504
102502540040
111074689410
1259a119234
1330b60b630
1419a512560
15e9a7d52a
hex9529bb08

2502540040 has 128 divisors (see below), whose sum is σ = 7560241920. Its totient is φ = 720000000.

The previous prime is 2502540037. The next prime is 2502540041. The reversal of 2502540040 is 400452052.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2502539993 and 2502540020.

It is not an unprimeable number, because it can be changed into a prime (2502540041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8790 + ... + 71290.

It is an arithmetic number, because the mean of its divisors is an integer number (59064390).

Almost surely, 22502540040 is an apocalyptic number.

2502540040 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 2502540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780120960).

2502540040 is an abundant number, since it is smaller than the sum of its proper divisors (5057701880).

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

2502540040 is a wasteful number, since it uses less digits than its factorization.

2502540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62543 (or 62539 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2502540040 is about 50025.3939514723. The cubic root of 2502540040 is about 1357.6683013367.

Adding to 2502540040 its reverse (400452052), we get a palindrome (2902992092).

The spelling of 2502540040 in words is "two billion, five hundred two million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 62501 125002 250004 312505 437507 500008 625010 687511 812513 875014 1250020 1375022 1625026 1750028 2187535 2500040 2750044 3250052 3437555 3500056 4062565 4375070 4812577 5500088 5687591 6500104 6875110 8125130 8750140 8937643 9625154 11375182 13750220 16250260 17500280 17875286 19250308 22750364 24062885 27500440 28437955 32500520 35750572 38500616 44688215 45500728 48125770 56875910 62563501 71501144 89376430 96251540 113751820 125127002 178752860 192503080 227503640 250254004 312817505 357505720 500508008 625635010 1251270020 2502540040