2506735558656 has 1008 divisors, whose sum is σ = 9028128695040. Its totient is φ = 692270530560.

The previous prime is 2506735558633. The next prime is 2506735558699. The reversal of 2506735558656 is 6568555376052.

2506735558656 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 73 + 5 + 558 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2506735558656² (a number of 26 digits) contains 22 as substring.

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 = 2506735558593 and 2506735558602.

It is an unprimeable number.

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, 3023806050 + ... + 3023806878.

It is an arithmetic number, because the mean of its divisors is an integer number (8956476880).

Almost surely, 2^{2506735558656} 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 2506735558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514064347520).

2506735558656 is an abundant number, since it is smaller than the sum of its proper divisors (6521393136384).

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

2506735558656 is an frugal number, since it uses more digits than its factorization.

2506735558656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 226800000, while the sum is 63.

The spelling of 2506735558656 in words is "two trillion, five hundred six billion, seven hundred thirty-five million, five hundred fifty-eight thousand, six hundred fifty-six".