2513101440 has 128 divisors (see below), whose sum is σ = 8358940800. Its totient is φ = 641011712.

The previous prime is 2513101433. The next prime is 2513101441. The reversal of 2513101440 is 441013152.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2513101441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15706 + ... + 72614.

It is an arithmetic number, because the mean of its divisors is an integer number (65304225).

Almost surely, 2^2513101440 is an apocalyptic number.

2513101440 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 2513101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179470400).

2513101440 is an abundant number, since it is smaller than the sum of its proper divisors (5845839360).

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

2513101440 is a wasteful number, since it uses less digits than its factorization.

2513101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56954 (or 56942 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2513101440 is about 50130.8432005686. The cubic root of 2513101440 is about 1359.5755307392.

Adding to 2513101440 its reverse (441013152), we get a palindrome (2954114592).

The spelling of 2513101440 in words is "two billion, five hundred thirteen million, one hundred one thousand, four hundred forty".