2513501440 has 72 divisors (see below), whose sum is σ = 6039038880. Its totient is φ = 1002326016.

The previous prime is 2513501437. The next prime is 2513501443. The reversal of 2513501440 is 441053152.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2513501437) and next prime (2513501443).

It is a super-3 number, since 3×2513501440³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513501443) 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, 441331 + ... + 446989.

It is an arithmetic number, because the mean of its divisors is an integer number (83875540).

Almost surely, 2^2513501440 is an apocalyptic number.

2513501440 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 2513501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019519440).

2513501440 is an abundant number, since it is smaller than the sum of its proper divisors (3525537440).

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

2513501440 is an equidigital number, since it uses as much as digits as its factorization.

2513501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2513501440 is about 50134.8326016952. The cubic root of 2513501440 is about 1359.6476595908.

Adding to 2513501440 its reverse (441053152), we get a palindrome (2954554592).

The spelling of 2513501440 in words is "two billion, five hundred thirteen million, five hundred one thousand, four hundred forty".