2432640 has 128 divisors (see below), whose sum is σ = 8910720. Its totient is φ = 552960.

The previous prime is 2432621. The next prime is 2432657. The reversal of 2432640 is 462342.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 13350 + ... + 13530.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2^2432640 is an apocalyptic number.

2432640 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 2432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360).

2432640 is an abundant number, since it is smaller than the sum of its proper divisors (6478080).

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

2432640 is a wasteful number, since it uses less digits than its factorization.

2432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2432640 is about 1559.6922773419. The cubic root of 2432640 is about 134.4908116423.

Adding to 2432640 its reverse (462342), we get a palindrome (2894982).

The spelling of 2432640 in words is "two million, four hundred thirty-two thousand, six hundred forty".