2815671465560 has 64 divisors (see below), whose sum is σ = 6409234382400. Its totient is φ = 1113128755200.

The previous prime is 2815671465557. The next prime is 2815671465631. The reversal of 2815671465560 is 655641765182.

2815671465560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2815671465560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2815671465496 and 2815671465505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8056040 + ... + 8398280.

It is an arithmetic number, because the mean of its divisors is an integer number (100144287225).

Almost surely, 2^{2815671465560} is an apocalyptic number.

2815671465560 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 2815671465560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204617191200).

2815671465560 is an abundant number, since it is smaller than the sum of its proper divisors (3593562916840).

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

2815671465560 is a wasteful number, since it uses less digits than its factorization.

2815671465560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344652 (or 344648 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 2815671465560 in words is "two trillion, eight hundred fifteen billion, six hundred seventy-one million, four hundred sixty-five thousand, five hundred sixty".