2682400 has 72 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 917760.

The previous prime is 2682397. The next prime is 2682457. The reversal of 2682400 is 42862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5361 + ... + 5839.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^2682400 is an apocalyptic number.

2682400 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 2682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2682400 is an abundant number, since it is smaller than the sum of its proper divisors (4817120).

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

2682400 is a wasteful number, since it uses less digits than its factorization.

2682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2682400 is about 1637.8034070059. The cubic root of 2682400 is about 138.9444423691.

The spelling of 2682400 in words is "two million, six hundred eighty-two thousand, four hundred".