2516215680 has 384 divisors, whose sum is σ = 9577751040. Its totient is φ = 603648000.

The previous prime is 2516215613. The next prime is 2516215703. The reversal of 2516215680 is 865126152.

2516215680 is a `hidden beast` number, since 25 + 1 + 621 + 5 + 6 + 8 + 0 = 666.

2516215680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 9567229 + ... + 9567491.

It is an arithmetic number, because the mean of its divisors is an integer number (24942060).

Almost surely, 2^2516215680 is an apocalyptic number.

2516215680 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 2516215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788875520).

2516215680 is an abundant number, since it is smaller than the sum of its proper divisors (7061535360).

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

2516215680 is a wasteful number, since it uses less digits than its factorization.

2516215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2516215680 is about 50161.8947010577. The cubic root of 2516215680 is about 1360.1368951011.

The spelling of 2516215680 in words is "two billion, five hundred sixteen million, two hundred fifteen thousand, six hundred eighty".