2010152000 has 112 divisors (see below), whose sum is σ = 5049682560. Its totient is φ = 792512000.

The previous prime is 2010151981. The next prime is 2010152009. The reversal of 2010152000 is 2510102.

It is a super-2 number, since 2×2010152000² = 8081422126208000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2010152009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566231 + ... + 569769.

Almost surely, 2^2010152000 is an apocalyptic number.

2010152000 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 2010152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524841280).

2010152000 is an abundant number, since it is smaller than the sum of its proper divisors (3039530560).

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

2010152000 is an equidigital number, since it uses as much as digits as its factorization.

2010152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2010152000 is about 44834.7186898725. The cubic root of 2010152000 is about 1262.0492394661.

Adding to 2010152000 its reverse (2510102), we get a palindrome (2012662102).

The spelling of 2010152000 in words is "two billion, ten million, one hundred fifty-two thousand".