2513106640 has 80 divisors (see below), whose sum is σ = 6397465536. Its totient is φ = 910515200.

The previous prime is 2513106613. The next prime is 2513106641. The reversal of 2513106640 is 466013152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2513106599 and 2513106608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513106641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242199 + ... + 252361.

Almost surely, 2^2513106640 is an apocalyptic number.

2513106640 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 2513106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198732768).

2513106640 is an abundant number, since it is smaller than the sum of its proper divisors (3884358896).

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

2513106640 is a wasteful number, since it uses less digits than its factorization.

2513106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2513106640 is about 50130.8950648201. The cubic root of 2513106640 is about 1359.5764684634.

Adding to 2513106640 its reverse (466013152), we get a palindrome (2979119792).

The spelling of 2513106640 in words is "two billion, five hundred thirteen million, one hundred six thousand, six hundred forty".