2015616000 has 352 divisors, whose sum is σ = 6974210880. Its totient is φ = 516096000.

The previous prime is 2015615993. The next prime is 2015616041. The reversal of 2015616000 is 6165102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11135910 + ... + 11136090.

Almost surely, 2^2015616000 is an apocalyptic number.

2015616000 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 2015616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487105440).

2015616000 is an abundant number, since it is smaller than the sum of its proper divisors (4958594880).

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

2015616000 is a wasteful number, since it uses less digits than its factorization.

2015616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2015616000 is about 44895.6122577697. The cubic root of 2015616000 is about 1263.1917066973.

The spelling of 2015616000 in words is "two billion, fifteen million, six hundred sixteen thousand".