2152080000 has 720 divisors, whose sum is σ = 9149579010. Its totient is φ = 483840000.

The previous prime is 2152079987. The next prime is 2152080059. The reversal of 2152080000 is 802512.

It can be written as a sum of positive squares in 5 ways, for example, as 79281216 + 2072798784 = 8904^2 + 45528^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (7) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 35279970 + ... + 35280030.

Almost surely, 2^2152080000 is an apocalyptic number.

2152080000 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 2152080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574789505).

2152080000 is an abundant number, since it is smaller than the sum of its proper divisors (6997499010).

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

2152080000 is an equidigital number, since it uses as much as digits as its factorization.

2152080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

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

The square root of 2152080000 is about 46390.5162721865. The cubic root of 2152080000 is about 1291.0789602914.

Adding to 2152080000 its reverse (802512), we get a palindrome (2152882512).

The spelling of 2152080000 in words is "two billion, one hundred fifty-two million, eighty thousand".