2916815616 has 432 divisors, whose sum is σ = 10234062720. Its totient is φ = 812298240.

The previous prime is 2916815611. The next prime is 2916815641. The reversal of 2916815616 is 6165186192.

2916815616 is a `hidden beast` number, since 2 + 9 + 1 + 6 + 81 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×2916815616³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2916815611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12849295 + ... + 12849521.

It is an arithmetic number, because the mean of its divisors is an integer number (23689960).

Almost surely, 2^2916815616 is an apocalyptic number.

2916815616 is a gapful number since it is divisible by the number (26) 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 2916815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117031360).

2916815616 is an abundant number, since it is smaller than the sum of its proper divisors (7317247104).

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

2916815616 is a wasteful number, since it uses less digits than its factorization.

2916815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 256 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 2916815616 is about 54007.5514719932. The cubic root of 2916815616 is about 1428.7941349405.

The spelling of 2916815616 in words is "two billion, nine hundred sixteen million, eight hundred fifteen thousand, six hundred sixteen".