2156736960 has 1008 divisors, whose sum is σ = 9757013760. Its totient is φ = 433520640.

The previous prime is 2156736947. The next prime is 2156736973. The reversal of 2156736960 is 696376512.

2156736960 is a `hidden beast` number, since 21 + 567 + 3 + 6 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2156736947) and next prime (2156736973).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69572145 + ... + 69572175.

Almost surely, 2^2156736960 is an apocalyptic number.

2156736960 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 2156736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878506880).

2156736960 is an abundant number, since it is smaller than the sum of its proper divisors (7600276800).

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

2156736960 is a wasteful number, since it uses less digits than its factorization.

2156736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2156736960 is about 46440.6821655324. The cubic root of 2156736960 is about 1292.0095594317.

The spelling of 2156736960 in words is "two billion, one hundred fifty-six million, seven hundred thirty-six thousand, nine hundred sixty".