2166056516 has 48 divisors (see below), whose sum is σ = 4337193840. Its totient is φ = 939133440.

The previous prime is 2166056509. The next prime is 2166056531. The reversal of 2166056516 is 6156506612.

It can be written as a sum of positive squares in 8 ways, for example, as 21996100 + 2144060416 = 4690^2 + 46304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2166056516.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36386 + ... + 75206.

It is an arithmetic number, because the mean of its divisors is an integer number (90358205).

Almost surely, 2^2166056516 is an apocalyptic number.

2166056516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2166056516 is an abundant number, since it is smaller than the sum of its proper divisors (2171137324).

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

2166056516 is a wasteful number, since it uses less digits than its factorization.

2166056516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38904 (or 38902 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 2166056516 is about 46540.9122815615. The cubic root of 2166056516 is about 1293.8678687884.

The spelling of 2166056516 in words is "two billion, one hundred sixty-six million, fifty-six thousand, five hundred sixteen".