2500408512 has 336 divisors, whose sum is σ = 8723619840. Its totient is φ = 668860416.

The previous prime is 2500408457. The next prime is 2500408579. The reversal of 2500408512 is 2158040052.

It is a happy number.

2500408512 is a `hidden beast` number, since 250 + 0 + 408 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9729088 + ... + 9729344.

Almost surely, 2^2500408512 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 2500408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361809920).

2500408512 is an abundant number, since it is smaller than the sum of its proper divisors (6223211328).

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

2500408512 is a wasteful number, since it uses less digits than its factorization.

2500408512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2500408512 is about 50004.0849531316. The cubic root of 2500408512 is about 1357.2827290826.

Adding to 2500408512 its reverse (2158040052), we get a palindrome (4658448564).

The spelling of 2500408512 in words is "two billion, five hundred million, four hundred eight thousand, five hundred twelve".