2523624046272 has 168 divisors, whose sum is σ = 8290700061696. Its totient is φ = 718957131264.

The previous prime is 2523624046249. The next prime is 2523624046289. The reversal of 2523624046272 is 2726404263252.

2523624046272 is a `hidden beast` number, since 2 + 5 + 23 + 62 + 40 + 462 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497233 + ... + 2300975.

Almost surely, 2^{2523624046272} 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 2523624046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145350030848).

2523624046272 is an abundant number, since it is smaller than the sum of its proper divisors (5767076015424).

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

2523624046272 is a wasteful number, since it uses less digits than its factorization.

2523624046272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804115 (or 1804102 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 2523624046272 in words is "two trillion, five hundred twenty-three billion, six hundred twenty-four million, forty-six thousand, two hundred seventy-two".