2015235200 has 96 divisors (see below), whose sum is σ = 5430924720. Its totient is φ = 732800000.

The previous prime is 2015235191. The next prime is 2015235203. The reversal of 2015235200 is 25325102.

It is a super-2 number, since 2×2015235200² = 8122345822638080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2015235203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6575 + ... + 63825.

Almost surely, 2^2015235200 is an apocalyptic number.

2015235200 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 2015235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715462360).

2015235200 is an abundant number, since it is smaller than the sum of its proper divisors (3415689520).

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

2015235200 is a wasteful number, since it uses less digits than its factorization.

2015235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57286 (or 57269 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2015235200 is about 44891.3711084881. The cubic root of 2015235200 is about 1263.1121522422.

The spelling of 2015235200 in words is "two billion, fifteen million, two hundred thirty-five thousand, two hundred".