2015152800 has 144 divisors (see below), whose sum is σ = 6945305472. Its totient is φ = 505753600.

The previous prime is 2015152781. The next prime is 2015152819. The reversal of 2015152800 is 82515102.

It is an interprime number because it is at equal distance from previous prime (2015152781) and next prime (2015152819).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16105 + ... + 65495.

It is an arithmetic number, because the mean of its divisors is an integer number (48231288).

Almost surely, 2^2015152800 is an apocalyptic number.

2015152800 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 2015152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472652736).

2015152800 is an abundant number, since it is smaller than the sum of its proper divisors (4930152672).

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

2015152800 is a wasteful number, since it uses less digits than its factorization.

2015152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49431 (or 49418 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 2015152800 is about 44890.4533280741. The cubic root of 2015152800 is about 1263.0949364089.

Adding to 2015152800 its reverse (82515102), we get a palindrome (2097667902).

The spelling of 2015152800 in words is "two billion, fifteen million, one hundred fifty-two thousand, eight hundred".