2536455430656 has 720 divisors, whose sum is σ = 8863984793664. Its totient is φ = 724104105984.

The previous prime is 2536455430601. The next prime is 2536455430657. The reversal of 2536455430656 is 6560345546352.

It is a happy number.

2536455430656 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 4 + 554 + 30 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2536455430657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2091059106 + ... + 2091060318.

Almost surely, 2^{2536455430656} 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 2536455430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431992396832).

2536455430656 is an abundant number, since it is smaller than the sum of its proper divisors (6327529363008).

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

2536455430656 is an frugal number, since it uses more digits than its factorization.

2536455430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 2536455430656 in words is "two trillion, five hundred thirty-six billion, four hundred fifty-five million, four hundred thirty thousand, six hundred fifty-six".