2506115455920 has 320 divisors, whose sum is σ = 8871442608000. Its totient is φ = 649797894144.

The previous prime is 2506115455901. The next prime is 2506115455951. The reversal of 2506115455920 is 295545116052.

2506115455920 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 1 + 1 + 54 + 5 + 592 + 0 = 666.

It is a super-2 number, since 2×2506115455920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128581536 + ... + 128601024.

It is an arithmetic number, because the mean of its divisors is an integer number (27723258150).

Almost surely, 2^{2506115455920} is an apocalyptic number.

2506115455920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506115455920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435721304000).

2506115455920 is an abundant number, since it is smaller than the sum of its proper divisors (6365327152080).

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

2506115455920 is a wasteful number, since it uses less digits than its factorization.

2506115455920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21157 (or 21145 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 2506115455920 in words is "two trillion, five hundred six billion, one hundred fifteen million, four hundred fifty-five thousand, nine hundred twenty".