2160834624 has 224 divisors, whose sum is σ = 7003328640. Its totient is φ = 649119744.

The previous prime is 2160834587. The next prime is 2160834629. The reversal of 2160834624 is 4264380612.

2160834624 is a `hidden beast` number, since 2 + 1 + 608 + 3 + 46 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2160834629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964834 + ... + 967070.

It is an arithmetic number, because the mean of its divisors is an integer number (31264860).

Almost surely, 2^2160834624 is an apocalyptic number.

2160834624 is a gapful number since it is divisible by the number (24) 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 2160834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501664320).

2160834624 is an abundant number, since it is smaller than the sum of its proper divisors (4842494016).

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

2160834624 is a wasteful number, since it uses less digits than its factorization.

2160834624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2160834624 is about 46484.7784118630. The cubic root of 2160834624 is about 1292.8272872921.

The spelling of 2160834624 in words is "two billion, one hundred sixty million, eight hundred thirty-four thousand, six hundred twenty-four".