2506431440 has 160 divisors (see below), whose sum is σ = 6263813376. Its totient is φ = 930631680.

The previous prime is 2506431419. The next prime is 2506431457. The reversal of 2506431440 is 441346052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15376799 + ... + 15376961.

Almost surely, 2^2506431440 is an apocalyptic number.

2506431440 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 2506431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131906688).

2506431440 is an abundant number, since it is smaller than the sum of its proper divisors (3757381936).

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

2506431440 is a wasteful number, since it uses less digits than its factorization.

2506431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2506431440 is about 50064.2730896994. The cubic root of 2506431440 is about 1358.3716526340.

Adding to 2506431440 its reverse (441346052), we get a palindrome (2947777492).

The spelling of 2506431440 in words is "two billion, five hundred six million, four hundred thirty-one thousand, four hundred forty".