2506457614608 has 200 divisors, whose sum is σ = 7274101153176. Its totient is φ = 833222246400.

The previous prime is 2506457614607. The next prime is 2506457614643. The reversal of 2506457614608 is 8064167546052.

2506457614608 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 4 + 576 + 1 + 4 + 60 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122620429584 + 2383837185024 = 350172^2 + 1543968^2 .

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 (2506457614607) 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 39 ways as a sum of consecutive naturals, for example, 1439664618 + ... + 1439666358.

Almost surely, 2^{2506457614608} 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 2506457614608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637050576588).

2506457614608 is an abundant number, since it is smaller than the sum of its proper divisors (4767643538568).

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

2506457614608 is a wasteful number, since it uses less digits than its factorization.

2506457614608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2506457614608 in words is "two trillion, five hundred six billion, four hundred fifty-seven million, six hundred fourteen thousand, six hundred eight".