2166381504 has 112 divisors (see below), whose sum is σ = 7278624000. Its totient is φ = 618962688.

The previous prime is 2166381491. The next prime is 2166381509. The reversal of 2166381504 is 4051836612.

It is a happy number.

2166381504 is a `hidden beast` number, since 2 + 1 + 6 + 638 + 15 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166381509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77454 + ... + 101645.

Almost surely, 2^2166381504 is an apocalyptic number.

2166381504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2166381504 is an abundant number, since it is smaller than the sum of its proper divisors (5112242496).

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

2166381504 is a wasteful number, since it uses less digits than its factorization.

2166381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179127 (or 179111 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2166381504 is about 46544.4035733621. The cubic root of 2166381504 is about 1293.9325747798.

The spelling of 2166381504 in words is "two billion, one hundred sixty-six million, three hundred eighty-one thousand, five hundred four".