2687880 has 64 divisors (see below), whose sum is σ = 8688960. Its totient is φ = 661248.

The previous prime is 2687879. The next prime is 2687891. The reversal of 2687880 is 887862.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (135765).

2^2687880 is an apocalyptic number.

2687880 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 2687880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344480).

2687880 is an abundant number, since it is smaller than the sum of its proper divisors (6001080).

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

2687880 is a wasteful number, since it uses less digits than its factorization.

2687880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1746 counting only the distinct ones).

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

The square root of 2687880 is about 1639.4755258924. The cubic root of 2687880 is about 139.0389967012.

The spelling of 2687880 in words is "two million, six hundred eighty-seven thousand, eight hundred eighty".