2164013400 has 48 divisors (see below), whose sum is σ = 6708443400. Its totient is φ = 577070080.

The previous prime is 2164013389. The next prime is 2164013407. The reversal of 2164013400 is 43104612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164013407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1802745 + ... + 1803944.

Almost surely, 2^2164013400 is an apocalyptic number.

2164013400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164013400 is an abundant number, since it is smaller than the sum of its proper divisors (4544430000).

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

2164013400 is a wasteful number, since it uses less digits than its factorization.

2164013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606708 (or 3606699 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2164013400 is about 46518.9574259785. The cubic root of 2164013400 is about 1293.4609305389.

The spelling of 2164013400 in words is "two billion, one hundred sixty-four million, thirteen thousand, four hundred".