2400640 has 96 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 844800.

The previous prime is 2400623. The next prime is 2400661. The reversal of 2400640 is 460042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77425 + ... + 77455.

It is an arithmetic number, because the mean of its divisors is an integer number (67830).

2^2400640 is an apocalyptic number.

2400640 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 2400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840).

2400640 is an abundant number, since it is smaller than the sum of its proper divisors (4111040).

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

2400640 is a wasteful number, since it uses less digits than its factorization.

2400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2400640 is about 1549.3998838260. The cubic root of 2400640 is about 133.8984899889.

Adding to 2400640 its reverse (460042), we get a palindrome (2860682).

The spelling of 2400640 in words is "two million, four hundred thousand, six hundred forty".