2015287680 has 384 divisors, whose sum is σ = 7724712960. Its totient is φ = 445132800.

The previous prime is 2015287657. The next prime is 2015287693. The reversal of 2015287680 is 867825102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2015287680² = 8122768866319564800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2916135 + ... + 2916825.

It is an arithmetic number, because the mean of its divisors is an integer number (20116440).

Almost surely, 2^2015287680 is an apocalyptic number.

2015287680 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 2015287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862356480).

2015287680 is an abundant number, since it is smaller than the sum of its proper divisors (5709425280).

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

2015287680 is a wasteful number, since it uses less digits than its factorization.

2015287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 2015287680 is about 44891.9556268158. The cubic root of 2015287680 is about 1263.1231166448.

The spelling of 2015287680 in words is "two billion, fifteen million, two hundred eighty-seven thousand, six hundred eighty".