2152008000 has 504 divisors, whose sum is σ = 8188735464. Its totient is φ = 559872000.

The previous prime is 2152007929. The next prime is 2152008013. The reversal of 2152008000 is 8002512.

It can be written as a sum of positive squares in 4 ways, for example, as 485409024 + 1666598976 = 22032^2 + 40824^2 .

It is a super-2 number, since 2×2152008000² = 9262276864128000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52487980 + ... + 52488020.

It is an arithmetic number, because the mean of its divisors is an integer number (16247491).

Almost surely, 2^2152008000 is an apocalyptic number.

2152008000 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 2152008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094367732).

2152008000 is an abundant number, since it is smaller than the sum of its proper divisors (6036727464).

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

2152008000 is an frugal number, since it uses more digits than its factorization.

2152008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2152008000 is about 46389.7402450154. The cubic root of 2152008000 is about 1291.0645620160.

The spelling of 2152008000 in words is "two billion, one hundred fifty-two million, eight thousand".