2164087536 has 160 divisors (see below), whose sum is σ = 6381258240. Its totient is φ = 626476032.

The previous prime is 2164087511. The next prime is 2164087559. The reversal of 2164087536 is 6357804612.

2164087536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979406 + ... + 1980498.

It is an arithmetic number, because the mean of its divisors is an integer number (39882864).

Almost surely, 2^2164087536 is an apocalyptic number.

2164087536 is a gapful number since it is divisible by the number (26) 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 2164087536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190629120).

2164087536 is an abundant number, since it is smaller than the sum of its proper divisors (4217170704).

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

2164087536 is a wasteful number, since it uses less digits than its factorization.

2164087536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2164087536 is about 46519.7542555848. The cubic root of 2164087536 is about 1293.4757010766.

The spelling of 2164087536 in words is "two billion, one hundred sixty-four million, eighty-seven thousand, five hundred thirty-six".