2506237440 has 160 divisors (see below), whose sum is σ = 9156913920. Its totient is φ = 572841984.

The previous prime is 2506237423. The next prime is 2506237453. The reversal of 2506237440 is 447326052.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2506237440² = 12562452211315507200, 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, 30451 + ... + 77069.

It is an arithmetic number, because the mean of its divisors is an integer number (57230712).

Almost surely, 2^2506237440 is an apocalyptic number.

2506237440 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 2506237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578456960).

2506237440 is an abundant number, since it is smaller than the sum of its proper divisors (6650676480).

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

2506237440 is an equidigital number, since it uses as much as digits as its factorization.

2506237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46652 (or 46636 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2506237440 is about 50062.3355428010. The cubic root of 2506237440 is about 1358.3366053425.

The spelling of 2506237440 in words is "two billion, five hundred six million, two hundred thirty-seven thousand, four hundred forty".