2164001580 has 144 divisors (see below), whose sum is σ = 7441281120. Its totient is φ = 504631296.

The previous prime is 2164001579. The next prime is 2164001597. The reversal of 2164001580 is 851004612.

2164001580 is a `hidden beast` number, since 2 + 1 + 640 + 0 + 15 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20124 + ... + 68796.

Almost surely, 2^2164001580 is an apocalyptic number.

2164001580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164001580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720640560).

2164001580 is an abundant number, since it is smaller than the sum of its proper divisors (5277279540).

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

2164001580 is a wasteful number, since it uses less digits than its factorization.

2164001580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48720 (or 48715 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2164001580 is about 46518.8303808254. The cubic root of 2164001580 is about 1293.4585755418.

The spelling of 2164001580 in words is "two billion, one hundred sixty-four million, one thousand, five hundred eighty".