2815477560480 has 384 divisors, whose sum is σ = 10015703550720. Its totient is φ = 659973242880.

The previous prime is 2815477560457. The next prime is 2815477560487. The reversal of 2815477560480 is 840657745182.

It is a self number, because there is not a number n which added to its sum of digits gives 2815477560480.

It is not an unprimeable number, because it can be changed into a prime (2815477560487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13103515 + ... + 13316645.

It is an arithmetic number, because the mean of its divisors is an integer number (26082561330).

Almost surely, 2^{2815477560480} is an apocalyptic number.

2815477560480 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 2815477560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007851775360).

2815477560480 is an abundant number, since it is smaller than the sum of its proper divisors (7200225990240).

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

2815477560480 is a wasteful number, since it uses less digits than its factorization.

2815477560480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213264 (or 213256 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 2815477560480 in words is "two trillion, eight hundred fifteen billion, four hundred seventy-seven million, five hundred sixty thousand, four hundred eighty".