2521401408 has 168 divisors, whose sum is σ = 7473099608. Its totient is φ = 812187648.

The previous prime is 2521401391. The next prime is 2521401439. The reversal of 2521401408 is 8041041252.

2521401408 is a `hidden beast` number, since 252 + 1 + 4 + 0 + 1 + 408 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 2484823104 = 6048^2 + 49848^2 .

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, 4112910 + ... + 4113522.

Almost surely, 2^2521401408 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 2521401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736549804).

2521401408 is an abundant number, since it is smaller than the sum of its proper divisors (4951698200).

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

2521401408 is a wasteful number, since it uses less digits than its factorization.

2521401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2521401408 is about 50213.5580097647. The cubic root of 2521401408 is about 1361.0706332990.

The spelling of 2521401408 in words is "two billion, five hundred twenty-one million, four hundred one thousand, four hundred eight".