2796640 has 96 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 867840.

The previous prime is 2796623. The next prime is 2796649. The reversal of 2796640 is 466972.

It is a junction number, because it is equal to n+sod(n) for n = 2796596 and 2796605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2796649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12207 + ... + 12433.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

2^2796640 is an apocalyptic number.

2796640 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 2796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

2796640 is an abundant number, since it is smaller than the sum of its proper divisors (5477024).

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

2796640 is a wasteful number, since it uses less digits than its factorization.

2796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2796640 is about 1672.3157596578. The cubic root of 2796640 is about 140.8895736850.

The spelling of 2796640 in words is "two million, seven hundred ninety-six thousand, six hundred forty".