2164656960 has 280 divisors, whose sum is σ = 8037063936. Its totient is φ = 551992320.

The previous prime is 2164656953. The next prime is 2164656997. The reversal of 2164656960 is 696564612.

2164656960 is a `hidden beast` number, since 21 + 6 + 4 + 6 + 569 + 60 = 666.

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 39 ways as a sum of consecutive naturals, for example, 594345 + ... + 597975.

Almost surely, 2^2164656960 is an apocalyptic number.

2164656960 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 2164656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018531968).

2164656960 is an abundant number, since it is smaller than the sum of its proper divisors (5872406976).

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

2164656960 is a wasteful number, since it uses less digits than its factorization.

2164656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2164656960 is about 46525.8740917352. The cubic root of 2164656960 is about 1293.5891394202.

It can be divided in two parts, 21646 and 56960, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 2164656960 in words is "two billion, one hundred sixty-four million, six hundred fifty-six thousand, nine hundred sixty".