2681866560 has 112 divisors (see below), whose sum is σ = 8745175296. Its totient is φ = 695826432.

The previous prime is 2681866543. The next prime is 2681866571. The reversal of 2681866560 is 656681862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2232 + ... + 73271.

Almost surely, 2^2681866560 is an apocalyptic number.

2681866560 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 2681866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372587648).

2681866560 is an abundant number, since it is smaller than the sum of its proper divisors (6063308736).

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

2681866560 is a wasteful number, since it uses less digits than its factorization.

2681866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75560 (or 75550 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2681866560 is about 51786.7411602622. The cubic root of 2681866560 is about 1389.3523128483.

The spelling of 2681866560 in words is "two billion, six hundred eighty-one million, eight hundred sixty-six thousand, five hundred sixty".