2501003520 has 144 divisors (see below), whose sum is σ = 8875211520. Its totient is φ = 666925056.

The previous prime is 2501003513. The next prime is 2501003521. The reversal of 2501003520 is 253001052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2501003493 and 2501003502.

It is not an unprimeable number, because it can be changed into a prime (2501003521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624 + ... + 70743.

Almost surely, 2^2501003520 is an apocalyptic number.

2501003520 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 2501003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437605760).

2501003520 is an abundant number, since it is smaller than the sum of its proper divisors (6374208000).

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

2501003520 is an equidigital number, since it uses as much as digits as its factorization.

2501003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72397 (or 72377 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2501003520 is about 50010.0341931497. The cubic root of 2501003520 is about 1357.3903821623.

Adding to 2501003520 its reverse (253001052), we get a palindrome (2754004572).

The spelling of 2501003520 in words is "two billion, five hundred one million, three thousand, five hundred twenty".