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2640542436 = 2233715123131
BaseRepresentation
bin1001110101100011…
…0111101011100100
320211000122110021000
42131120313223210
520401434324221
61114003553300
7122302145310
oct23530675344
96730573230
102640542436
111135576684
1261838b830
1333109965c
141b0996b40
15106c3ce26
hex9d637ae4

2640542436 has 96 divisors (see below), whose sum is σ = 7875983360. Its totient is φ = 749412000.

The previous prime is 2640542413. The next prime is 2640542449. The reversal of 2640542436 is 6342450462.

2640542436 is a `hidden beast` number, since 2 + 6 + 405 + 4 + 243 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2640542436.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102591 + ... + 125721.

Almost surely, 22640542436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640542436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937991680).

2640542436 is an abundant number, since it is smaller than the sum of its proper divisors (5235440924).

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

2640542436 is a wasteful number, since it uses less digits than its factorization.

2640542436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23302 (or 23294 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2640542436 is about 51386.2086167096. The cubic root of 2640542436 is about 1382.1792976597.

Adding to 2640542436 its reverse (6342450462), we get a palindrome (8982992898).

The spelling of 2640542436 in words is "two billion, six hundred forty million, five hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 151 189 252 302 378 453 604 756 906 1057 1359 1812 2114 2718 3171 4077 4228 5436 6342 8154 9513 12684 16308 19026 23131 28539 38052 46262 57078 69393 92524 114156 138786 161917 208179 277572 323834 416358 485751 624537 647668 832716 971502 1249074 1457253 1943004 2498148 2914506 3492781 4371759 5829012 6985562 8743518 10478343 13971124 17487036 20956686 24449467 31435029 41913372 48898934 62870058 73348401 94305087 97797868 125740116 146696802 188610174 220045203 293393604 377220348 440090406 660135609 880180812 1320271218 2640542436