2503480320 has 396 divisors, whose sum is σ = 9556010100. Its totient is φ = 605552640.

The previous prime is 2503480283. The next prime is 2503480327. The reversal of 2503480320 is 230843052.

It can be written as a sum of positive squares in 2 ways, for example, as 1214383104 + 1289097216 = 34848^2 + 35904^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503480327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5575456 + ... + 5575904.

Almost surely, 2^2503480320 is an apocalyptic number.

2503480320 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 2503480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778005050).

2503480320 is an abundant number, since it is smaller than the sum of its proper divisors (7052529780).

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

2503480320 is a wasteful number, since it uses less digits than its factorization.

2503480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2503480320 is about 50034.7910957965. The cubic root of 2503480320 is about 1357.8383190625.

The spelling of 2503480320 in words is "two billion, five hundred three million, four hundred eighty thousand, three hundred twenty".