2537983008 has 144 divisors (see below), whose sum is σ = 7904306592. Its totient is φ = 766080000.

The previous prime is 2537982977. The next prime is 2537983027. The reversal of 2537983008 is 8003897352.

2537983008 is a `hidden beast` number, since 253 + 7 + 98 + 300 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888783 + ... + 891633.

It is an arithmetic number, because the mean of its divisors is an integer number (54891018).

Almost surely, 2^2537983008 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 2537983008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952153296).

2537983008 is an abundant number, since it is smaller than the sum of its proper divisors (5366323584).

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

2537983008 is a wasteful number, since it uses less digits than its factorization.

2537983008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2537983008 is about 50378.3982278119. The cubic root of 2537983008 is about 1364.0477390033.

The spelling of 2537983008 in words is "two billion, five hundred thirty-seven million, nine hundred eighty-three thousand, eight".