2156795760 has 240 divisors, whose sum is σ = 7820204832. Its totient is φ = 490291200.

The previous prime is 2156795747. The next prime is 2156795761. The reversal of 2156795760 is 675976512.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156795761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2833780 + ... + 2834540.

Almost surely, 2^2156795760 is an apocalyptic number.

2156795760 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 2156795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910102416).

2156795760 is an abundant number, since it is smaller than the sum of its proper divisors (5663409072).

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

2156795760 is a wasteful number, since it uses less digits than its factorization.

2156795760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The square root of 2156795760 is about 46441.3152268538. The cubic root of 2156795760 is about 1292.0213008530.

The spelling of 2156795760 in words is "two billion, one hundred fifty-six million, seven hundred ninety-five thousand, seven hundred sixty".