2507064985656 has 360 divisors, whose sum is σ = 8978688956160. Its totient is φ = 651184712640.

The previous prime is 2507064985651. The next prime is 2507064985703. The reversal of 2507064985656 is 6565894607052.

It is a happy number.

2507064985656 is a `hidden beast` number, since 2 + 5 + 0 + 7 + 0 + 64 + 9 + 8 + 565 + 6 = 666.

2507064985656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2507064985593 and 2507064985602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507064985651) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3515721 + ... + 4168263.

It is an arithmetic number, because the mean of its divisors is an integer number (24940802656).

Almost surely, 2^{2507064985656} 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 2507064985656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489344478080).

2507064985656 is an abundant number, since it is smaller than the sum of its proper divisors (6471623970504).

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

2507064985656 is a wasteful number, since it uses less digits than its factorization.

2507064985656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652597 (or 652566 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 2507064985656 in words is "two trillion, five hundred seven billion, sixty-four million, nine hundred eighty-five thousand, six hundred fifty-six".