2164731840 has 84 divisors (see below), whose sum is σ = 7445785464. Its totient is φ = 577261056.

The previous prime is 2164731799. The next prime is 2164731913. The reversal of 2164731840 is 481374612.

2164731840 is a `hidden beast` number, since 2 + 1 + 6 + 473 + 184 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2164731795 and 2164731804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372942 + ... + 378701.

Almost surely, 2^2164731840 is an apocalyptic number.

2164731840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164731840 is an abundant number, since it is smaller than the sum of its proper divisors (5281053624).

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

2164731840 is a wasteful number, since it uses less digits than its factorization.

2164731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751666 (or 751653 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2164731840 is about 46526.6787982981. The cubic root of 2164731840 is about 1293.6040552306.

The spelling of 2164731840 in words is "two billion, one hundred sixty-four million, seven hundred thirty-one thousand, eight hundred forty".