2516648400 has 240 divisors, whose sum is σ = 10237340800. Its totient is φ = 575216640.

The previous prime is 2516648377. The next prime is 2516648527. The reversal of 2516648400 is 48466152.

2516648400 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 648 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58956 + ... + 92244.

Almost surely, 2^2516648400 is an apocalyptic number.

2516648400 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 2516648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118670400).

2516648400 is an abundant number, since it is smaller than the sum of its proper divisors (7720692400).

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

2516648400 is a wasteful number, since it uses less digits than its factorization.

2516648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33323 (or 33306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2516648400 is about 50166.2077498389. The cubic root of 2516648400 is about 1360.2148593640.

The spelling of 2516648400 in words is "two billion, five hundred sixteen million, six hundred forty-eight thousand, four hundred".