2815555680 has 576 divisors, whose sum is σ = 11748602880. Its totient is φ = 627637248.

The previous prime is 2815555669. The next prime is 2815555733. The reversal of 2815555680 is 865555182.

2815555680 is a `hidden beast` number, since 2 + 8 + 15 + 5 + 556 + 80 = 666.

2815555680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9948819 + ... + 9949101.

It is an arithmetic number, because the mean of its divisors is an integer number (20396880).

Almost surely, 2^2815555680 is an apocalyptic number.

2815555680 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 2815555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874301440).

2815555680 is an abundant number, since it is smaller than the sum of its proper divisors (8933047200).

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

2815555680 is a wasteful number, since it uses less digits than its factorization.

2815555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The square root of 2815555680 is about 53061.8099955137. The cubic root of 2815555680 is about 1412.0650591835.

The spelling of 2815555680 in words is "two billion, eight hundred fifteen million, five hundred fifty-five thousand, six hundred eighty".