2164017760 has 24 divisors (see below), whose sum is σ = 5112492336. Its totient is φ = 865607040.

The previous prime is 2164017731. The next prime is 2164017781. The reversal of 2164017760 is 677104612.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6762396 + ... + 6762715.

It is an arithmetic number, because the mean of its divisors is an integer number (213020514).

Almost surely, 2^2164017760 is an apocalyptic number.

2164017760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164017760 is an abundant number, since it is smaller than the sum of its proper divisors (2948474576).

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

2164017760 is a wasteful number, since it uses less digits than its factorization.

2164017760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13525126 (or 13525118 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 2164017760 is about 46519.0042885701. The cubic root of 2164017760 is about 1293.4617992159.

The spelling of 2164017760 in words is "two billion, one hundred sixty-four million, seventeen thousand, seven hundred sixty".