2388880 has 40 divisors (see below), whose sum is σ = 5983992. Its totient is φ = 881664.

The previous prime is 2388877. The next prime is 2388887. The reversal of 2388880 is 888832.

2388880 = T₁₂₃ + T₁₂₄ + ... + T₂₅₂.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 2359296 = 172^2 + 1536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2388887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 2188.

2^2388880 is an apocalyptic number.

2388880 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 2388880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991996).

2388880 is an abundant number, since it is smaller than the sum of its proper divisors (3595112).

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

2388880 is a wasteful number, since it uses less digits than its factorization.

2388880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 2388880 is about 1545.6002070393. The cubic root of 2388880 is about 133.6794894309.

The spelling of 2388880 in words is "two million, three hundred eighty-eight thousand, eight hundred eighty".