2164512740 has 48 divisors (see below), whose sum is σ = 4938515568. Its totient is φ = 792121344.

The previous prime is 2164512683. The next prime is 2164512751. The reversal of 2164512740 is 472154612.

It can be written as a sum of positive squares in 8 ways, for example, as 266864896 + 1897647844 = 16336^2 + 43562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2164512697 and 2164512706.

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, 7457 + ... + 66216.

It is an arithmetic number, because the mean of its divisors is an integer number (102885741).

Almost surely, 2^2164512740 is an apocalyptic number.

2164512740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164512740 is an abundant number, since it is smaller than the sum of its proper divisors (2774002828).

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

2164512740 is a wasteful number, since it uses less digits than its factorization.

2164512740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73808 (or 73806 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2164512740 is about 46524.3241756396. The cubic root of 2164512740 is about 1293.5604103772.

The spelling of 2164512740 in words is "two billion, one hundred sixty-four million, five hundred twelve thousand, seven hundred forty".