2400025440 has 96 divisors (see below), whose sum is σ = 7568660736. Its totient is φ = 639280640.

The previous prime is 2400025417. The next prime is 2400025457. The reversal of 2400025440 is 445200042.

2400025440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2400025440² = 11520244225294387200, which contains 22 as substring.

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, 521389 + ... + 525971.

It is an arithmetic number, because the mean of its divisors is an integer number (78840216).

Almost surely, 2^2400025440 is an apocalyptic number.

2400025440 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 2400025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784330368).

2400025440 is an abundant number, since it is smaller than the sum of its proper divisors (5168635296).

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

2400025440 is a wasteful number, since it uses less digits than its factorization.

2400025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2400025440 is about 48990.0545008882. The cubic root of 2400025440 is about 1338.8706308071.

Adding to 2400025440 its reverse (445200042), we get a palindrome (2845225482).

The spelling of 2400025440 in words is "two billion, four hundred million, twenty-five thousand, four hundred forty".