2015725824 has 252 divisors, whose sum is σ = 6898876096. Its totient is φ = 575548416.

The previous prime is 2015725807. The next prime is 2015725897. The reversal of 2015725824 is 4285275102.

It is a happy number.

2015725824 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 72 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1305597 + ... + 1307139.

Almost surely, 2^2015725824 is an apocalyptic number.

2015725824 is a gapful number since it is divisible by the number (24) 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 2015725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449438048).

2015725824 is an abundant number, since it is smaller than the sum of its proper divisors (4883150272).

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

2015725824 is an frugal number, since it uses more digits than its factorization.

2015725824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2015725824 is about 44896.8353450441. The cubic root of 2015725824 is about 1263.2146486079.

The spelling of 2015725824 in words is "two billion, fifteen million, seven hundred twenty-five thousand, eight hundred twenty-four".