2688880 has 80 divisors (see below), whose sum is σ = 6919200. Its totient is φ = 967680.

The previous prime is 2688877. The next prime is 2688883. The reversal of 2688880 is 888862.

2688880 = 131² + 132² + ... + 217².

It is an interprime number because it is at equal distance from previous prime (2688877) and next prime (2688883).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688883) 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, 44050 + ... + 44110.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

2^2688880 is an apocalyptic number.

2688880 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 2688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459600).

2688880 is an abundant number, since it is smaller than the sum of its proper divisors (4230320).

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

2688880 is a wasteful number, since it uses less digits than its factorization.

2688880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 2688880 is about 1639.7804731122. The cubic root of 2688880 is about 139.0562372721.

The spelling of 2688880 in words is "two million, six hundred eighty-eight thousand, eight hundred eighty".