2506121856 has 240 divisors, whose sum is σ = 8677598490. Its totient is φ = 715889664.

The previous prime is 2506121803. The next prime is 2506121923. The reversal of 2506121856 is 6581216052.

2506121856 is a `hidden beast` number, since 25 + 0 + 612 + 18 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2292494400 + 213627456 = 47880^2 + 14616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2506121856.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 505566 + ... + 510498.

Almost surely, 2^2506121856 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 2506121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338799245).

2506121856 is an abundant number, since it is smaller than the sum of its proper divisors (6171476634).

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

2506121856 is an equidigital number, since it uses as much as digits as its factorization.

2506121856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2506121856 is about 50061.1811286949. The cubic root of 2506121856 is about 1358.3157235233.

The spelling of 2506121856 in words is "two billion, five hundred six million, one hundred twenty-one thousand, eight hundred fifty-six".