2788680 has 64 divisors (see below), whose sum is σ = 8864640. Its totient is φ = 699392.

The previous prime is 2788661. The next prime is 2788693. The reversal of 2788680 is 868872.

It is a super-2 number, since 2×2788680² = 15553472284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 1357 + ... + 2723.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

2^2788680 is an apocalyptic number.

2788680 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 2788680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320).

2788680 is an abundant number, since it is smaller than the sum of its proper divisors (6075960).

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

2788680 is a wasteful number, since it uses less digits than its factorization.

2788680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 2788680 is about 1669.9341304375. The cubic root of 2788680 is about 140.7557766160.

It can be divided in two parts, 27886 and 80, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 2788680 in words is "two million, seven hundred eighty-eight thousand, six hundred eighty".