2488640 has 112 divisors (see below), whose sum is σ = 7461504. Its totient is φ = 768000.

The previous prime is 2488609. The next prime is 2488667. The reversal of 2488640 is 468842.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2488597 and 2488606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24590 + ... + 24690.

2^2488640 is an apocalyptic number.

2488640 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 2488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730752).

2488640 is an abundant number, since it is smaller than the sum of its proper divisors (4972864).

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

2488640 is a wasteful number, since it uses less digits than its factorization.

2488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2488640 is about 1577.5423924573. The cubic root of 2488640 is about 135.5149967743.

It can be divided in two parts, 248 and 8640, that added together give a palindrome (8888).

The spelling of 2488640 in words is "two million, four hundred eighty-eight thousand, six hundred forty".