2516004400 has 240 divisors, whose sum is σ = 7501950400. Its totient is φ = 794327040.

The previous prime is 2516004397. The next prime is 2516004419. The reversal of 2516004400 is 44006152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6151396 + ... + 6151804.

Almost surely, 2^2516004400 is an apocalyptic number.

2516004400 is a gapful number since it is divisible by the number (20) 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 2516004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750975200).

2516004400 is an abundant number, since it is smaller than the sum of its proper divisors (4985946000).

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

2516004400 is a wasteful number, since it uses less digits than its factorization.

2516004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2516004400 is about 50159.7886757909. The cubic root of 2516004400 is about 1360.0988249986.

The spelling of 2516004400 in words is "two billion, five hundred sixteen million, four thousand, four hundred".