2153672160 has 192 divisors, whose sum is σ = 7111577088. Its totient is φ = 546822144.

The previous prime is 2153672141. The next prime is 2153672179. The reversal of 2153672160 is 612763512.

It is an interprime number because it is at equal distance from previous prime (2153672141) and next prime (2153672179).

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, 4117659 + ... + 4118181.

It is an arithmetic number, because the mean of its divisors is an integer number (37039464).

Almost surely, 2^2153672160 is an apocalyptic number.

2153672160 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 2153672160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555788544).

2153672160 is an abundant number, since it is smaller than the sum of its proper divisors (4957904928).

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

2153672160 is a wasteful number, since it uses less digits than its factorization.

2153672160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2153672160 is about 46407.6735034197. The cubic root of 2153672160 is about 1291.3972721196.

The spelling of 2153672160 in words is "two billion, one hundred fifty-three million, six hundred seventy-two thousand, one hundred sixty".