2156081760 has 768 divisors, whose sum is σ = 9266503680. Its totient is φ = 457850880.

The previous prime is 2156081749. The next prime is 2156081761. The reversal of 2156081760 is 671806512.

2156081760 is a `hidden beast` number, since 21 + 560 + 8 + 1 + 76 + 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 not an unprimeable number, because it can be changed into a prime (2156081761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45874057 + ... + 45874103.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2^2156081760 is an apocalyptic number.

2156081760 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 2156081760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633251840).

2156081760 is an abundant number, since it is smaller than the sum of its proper divisors (7110421920).

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

2156081760 is a wasteful number, since it uses less digits than its factorization.

2156081760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

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

The square root of 2156081760 is about 46433.6274697551. The cubic root of 2156081760 is about 1291.8787120118.

The spelling of 2156081760 in words is "two billion, one hundred fifty-six million, eighty-one thousand, seven hundred sixty".