2500906408 has 256 divisors, whose sum is σ = 6640704000. Its totient is φ = 858654720.

The previous prime is 2500906333. The next prime is 2500906417. The reversal of 2500906408 is 8046090052.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 28100028 + ... + 28100116.

It is an arithmetic number, because the mean of its divisors is an integer number (25940250).

Almost surely, 2^2500906408 is an apocalyptic number.

2500906408 is a gapful number since it is divisible by the number (28) 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 2500906408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320352000).

2500906408 is an abundant number, since it is smaller than the sum of its proper divisors (4139797592).

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

2500906408 is a wasteful number, since it uses less digits than its factorization.

2500906408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2500906408 is about 50009.0632585734. The cubic root of 2500906408 is about 1357.3728131345.

The spelling of 2500906408 in words is "two billion, five hundred million, nine hundred six thousand, four hundred eight".