2164893744 has 80 divisors (see below), whose sum is σ = 6339872000. Its totient is φ = 631058688.

The previous prime is 2164893707. The next prime is 2164893769. The reversal of 2164893744 is 4473984612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2164893693 and 2164893702.

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, 79444 + ... + 103155.

It is an arithmetic number, because the mean of its divisors is an integer number (79248400).

Almost surely, 2^2164893744 is an apocalyptic number.

2164893744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2164893744 is an abundant number, since it is smaller than the sum of its proper divisors (4174978256).

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

2164893744 is a wasteful number, since it uses less digits than its factorization.

2164893744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182642 (or 182636 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 2164893744 is about 46528.4186707436. The cubic root of 2164893744 is about 1293.6363047138.

The spelling of 2164893744 in words is "two billion, one hundred sixty-four million, eight hundred ninety-three thousand, seven hundred forty-four".