2015556480 has 512 divisors, whose sum is σ = 8597376000. Its totient is φ = 435953664.

The previous prime is 2015556469. The next prime is 2015556509. The reversal of 2015556480 is 846555102.

2015556480 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 5 + 5 + 648 + 0 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2297802 + ... + 2298678.

It is an arithmetic number, because the mean of its divisors is an integer number (16791750).

Almost surely, 2^2015556480 is an apocalyptic number.

2015556480 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 2015556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298688000).

2015556480 is an abundant number, since it is smaller than the sum of its proper divisors (6581819520).

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

2015556480 is a wasteful number, since it uses less digits than its factorization.

2015556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2015556480 is about 44894.9493818625. The cubic root of 2015556480 is about 1263.1792727961.

The spelling of 2015556480 in words is "two billion, fifteen million, five hundred fifty-six thousand, four hundred eighty".