2488320 has 144 divisors (see below), whose sum is σ = 8943480. Its totient is φ = 663552.

The previous prime is 2488319. The next prime is 2488327. The reversal of 2488320 is 238842.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ 3!.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488327) 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, 497662 + ... + 497666.

2^2488320 is an apocalyptic number.

2488320 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 2488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471740).

2488320 is an abundant number, since it is smaller than the sum of its proper divisors (6455160).

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

2488320 is an frugal number, since it uses more digits than its factorization.

2488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2488320 is about 1577.4409656149. The cubic root of 2488320 is about 135.5091881589.

The spelling of 2488320 in words is "two million, four hundred eighty-eight thousand, three hundred twenty".