2682408960 has 936 divisors, whose sum is σ = 12236174496. Its totient is φ = 557383680.

The previous prime is 2682408941. The next prime is 2682408983. The reversal of 2682408960 is 698042862.

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 71 ways as a sum of consecutive naturals, for example, 243855355 + ... + 243855365.

It is an arithmetic number, because the mean of its divisors is an integer number (13072836).

Almost surely, 2^2682408960 is an apocalyptic number.

2682408960 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 2682408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118087248).

2682408960 is an abundant number, since it is smaller than the sum of its proper divisors (9553765536).

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

2682408960 is an equidigital number, since it uses as much as digits as its factorization.

2682408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2682408960 is about 51791.9777571778. The cubic root of 2682408960 is about 1389.4459707391.

The spelling of 2682408960 in words is "two billion, six hundred eighty-two million, four hundred eight thousand, nine hundred sixty".