2500857216 has 768 divisors, whose sum is σ = 9623577600. Its totient is φ = 610467840.

The previous prime is 2500857193. The next prime is 2500857251. The reversal of 2500857216 is 6127580052.

It is a happy number.

2500857216 is a `hidden beast` number, since 2 + 500 + 85 + 72 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53209705 + ... + 53209751.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^2500857216 is an apocalyptic number.

2500857216 is a gapful number since it is divisible by the number (26) 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 2500857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811788800).

2500857216 is an abundant number, since it is smaller than the sum of its proper divisors (7122720384).

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

2500857216 is a wasteful number, since it uses less digits than its factorization.

2500857216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2500857216 is about 50008.5714253067. The cubic root of 2500857216 is about 1357.3639133851.

The spelling of 2500857216 in words is "two billion, five hundred million, eight hundred fifty-seven thousand, two hundred sixteen".