2682570960 has 400 divisors, whose sum is σ = 9981861120. Its totient is φ = 666040320.

The previous prime is 2682570941. The next prime is 2682570977. The reversal of 2682570960 is 690752862.

2682570960 is digitally balanced in base 2, because in such base 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 79 ways as a sum of consecutive naturals, for example, 6110421 + ... + 6110859.

Almost surely, 2^2682570960 is an apocalyptic number.

2682570960 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 2682570960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990930560).

2682570960 is an abundant number, since it is smaller than the sum of its proper divisors (7299290160).

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

2682570960 is a wasteful number, since it uses less digits than its factorization.

2682570960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2682570960 is about 51793.5416823372. The cubic root of 2682570960 is about 1389.4739413331.

The spelling of 2682570960 in words is "two billion, six hundred eighty-two million, five hundred seventy thousand, nine hundred sixty".