2503609440 has 192 divisors, whose sum is σ = 8380532160. Its totient is φ = 627056640.

The previous prime is 2503609439. The next prime is 2503609453. The reversal of 2503609440 is 449063052.

It is a super-2 number, since 2×2503609440² = 12536120456114227200, 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 31 ways as a sum of consecutive naturals, for example, 512610 + ... + 517470.

It is an arithmetic number, because the mean of its divisors is an integer number (43648605).

Almost surely, 2^2503609440 is an apocalyptic number.

2503609440 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 2503609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190266080).

2503609440 is an abundant number, since it is smaller than the sum of its proper divisors (5876922720).

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

2503609440 is a wasteful number, since it uses less digits than its factorization.

2503609440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2503609440 is about 50036.0813813392. The cubic root of 2503609440 is about 1357.8616627078.

The spelling of 2503609440 in words is "two billion, five hundred three million, six hundred nine thousand, four hundred forty".