2166364440 has 96 divisors (see below), whose sum is σ = 7301483280. Its totient is φ = 577694592.

The previous prime is 2166364429. The next prime is 2166364441. The reversal of 2166364440 is 444636612.

2166364440 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 3 + 644 + 4 + 0 = 666.

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 = 2166364395 and 2166364404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166364441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101719 + ... + 121158.

Almost surely, 2^2166364440 is an apocalyptic number.

2166364440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166364440 is an abundant number, since it is smaller than the sum of its proper divisors (5135118840).

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

2166364440 is a wasteful number, since it uses less digits than its factorization.

2166364440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222903 (or 222887 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2166364440 is about 46544.2202641746. The cubic root of 2166364440 is about 1293.9291774522.

The spelling of 2166364440 in words is "two billion, one hundred sixty-six million, three hundred sixty-four thousand, four hundred forty".