2153790720 has 432 divisors, whose sum is σ = 7948641792. Its totient is φ = 537477120.

The previous prime is 2153790677. The next prime is 2153790739. The reversal of 2153790720 is 270973512.

2153790720 is a `hidden beast` number, since 215 + 379 + 0 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13213359 + ... + 13213521.

Almost surely, 2^2153790720 is an apocalyptic number.

2153790720 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 2153790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974320896).

2153790720 is an abundant number, since it is smaller than the sum of its proper divisors (5794851072).

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

2153790720 is a wasteful number, since it uses less digits than its factorization.

2153790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2153790720 is about 46408.9508607984. The cubic root of 2153790720 is about 1291.4209688942.

The spelling of 2153790720 in words is "two billion, one hundred fifty-three million, seven hundred ninety thousand, seven hundred twenty".