2501322440 has 32 divisors (see below), whose sum is σ = 5632175160. Its totient is φ = 999782400.

The previous prime is 2501322409. The next prime is 2501322449. The reversal of 2501322440 is 442231052.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2306496676 + 194825764 = 48026^2 + 13958^2 .

It is a super-2 number, since 2×2501322440² = 12513227897695107200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2501322449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32600 + ... + 77880.

Almost surely, 2^2501322440 is an apocalyptic number.

2501322440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2501322440 is an abundant number, since it is smaller than the sum of its proper divisors (3130852720).

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

2501322440 is a wasteful number, since it uses less digits than its factorization.

2501322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46673 (or 46669 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2501322440 is about 50013.2226516148. Note that the first 3 decimals coincide. The cubic root of 2501322440 is about 1357.4480764089.

Adding to 2501322440 its reverse (442231052), we get a palindrome (2943553492).

The spelling of 2501322440 in words is "two billion, five hundred one million, three hundred twenty-two thousand, four hundred forty".