2160504000 has 336 divisors, whose sum is σ = 7947147936. Its totient is φ = 559872000.

The previous prime is 2160503993. The next prime is 2160504019. The reversal of 2160504000 is 4050612.

It is a happy number.

2160504000 is a `hidden beast` number, since 2 + 160 + 504 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2663595 + ... + 2664405.

It is an arithmetic number, because the mean of its divisors is an integer number (23652226).

Almost surely, 2^2160504000 is an apocalyptic number.

2160504000 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 2160504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973573968).

2160504000 is an abundant number, since it is smaller than the sum of its proper divisors (5786643936).

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

2160504000 is a wasteful number, since it uses less digits than its factorization.

2160504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2160504000 is about 46481.2220149169. Note that the first 3 decimals coincide. The cubic root of 2160504000 is about 1292.7613464859.

Adding to 2160504000 its reverse (4050612), we get a palindrome (2164554612).

The spelling of 2160504000 in words is "two billion, one hundred sixty million, five hundred four thousand".