2152871136 has 336 divisors, whose sum is σ = 7095231360. Its totient is φ = 638254080.

The previous prime is 2152871117. The next prime is 2152871179. The reversal of 2152871136 is 6311782512.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2152871136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9401070 + ... + 9401298.

It is an arithmetic number, because the mean of its divisors is an integer number (21116760).

Almost surely, 2^2152871136 is an apocalyptic number.

2152871136 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 2152871136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547615680).

2152871136 is an abundant number, since it is smaller than the sum of its proper divisors (4942360224).

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

2152871136 is a wasteful number, since it uses less digits than its factorization.

2152871136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 278 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2152871136 is about 46399.0424039117. The cubic root of 2152871136 is about 1291.2371473952.

The spelling of 2152871136 in words is "two billion, one hundred fifty-two million, eight hundred seventy-one thousand, one hundred thirty-six".