2688480 has 72 divisors (see below), whose sum is σ = 9179352. Its totient is φ = 716544.

The previous prime is 2688479. The next prime is 2688487. The reversal of 2688480 is 848862.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507 + ... + 2373.

It is an arithmetic number, because the mean of its divisors is an integer number (127491).

2^2688480 is an apocalyptic number.

2688480 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 2688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589676).

2688480 is an abundant number, since it is smaller than the sum of its proper divisors (6490872).

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

2688480 is a wasteful number, since it uses less digits than its factorization.

2688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2688480 is about 1639.6585010300. The cubic root of 2688480 is about 139.0493415568.

The spelling of 2688480 in words is "two million, six hundred eighty-eight thousand, four hundred eighty".