2152310160 has 960 divisors, whose sum is σ = 9823371264. Its totient is φ = 376012800.

The previous prime is 2152310137. The next prime is 2152310161. The reversal of 2152310160 is 610132512.

2152310160 = 158² + 159² + ... + 1862².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2152310161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69429345 + ... + 69429375.

Almost surely, 2^2152310160 is an apocalyptic number.

2152310160 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 2152310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911685632).

2152310160 is an abundant number, since it is smaller than the sum of its proper divisors (7671061104).

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

2152310160 is a wasteful number, since it uses less digits than its factorization.

2152310160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2152310160 is about 46392.9968853059. The cubic root of 2152310160 is about 1291.1249846246.

Adding to 2152310160 its reverse (610132512), we get a palindrome (2762442672).

The spelling of 2152310160 in words is "two billion, one hundred fifty-two million, three hundred ten thousand, one hundred sixty".