2516106816 has 336 divisors, whose sum is σ = 7950159360. Its totient is φ = 758661120.

The previous prime is 2516106793. The next prime is 2516106823. The reversal of 2516106816 is 6186016152.

2516106816 is a `hidden beast` number, since 25 + 1 + 610 + 6 + 8 + 16 = 666.

2516106816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 22266376 + ... + 22266488.

Almost surely, 2^2516106816 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 2516106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975079680).

2516106816 is an abundant number, since it is smaller than the sum of its proper divisors (5434052544).

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

2516106816 is a wasteful number, since it uses less digits than its factorization.

2516106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2516106816 is about 50160.8095628450. The cubic root of 2516106816 is about 1360.1172793902.

The spelling of 2516106816 in words is "two billion, five hundred sixteen million, one hundred six thousand, eight hundred sixteen".