2513991463360 has 448 divisors, whose sum is σ = 6691906335744. Its totient is φ = 893671833600.

The previous prime is 2513991463331. The next prime is 2513991463381. The reversal of 2513991463360 is 633641993152.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2513991463298 and 2513991463307.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5971475950 + ... + 5971476370.

It is an arithmetic number, because the mean of its divisors is an integer number (14937290928).

Almost surely, 2^{2513991463360} is an apocalyptic number.

2513991463360 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 2513991463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345953167872).

2513991463360 is an abundant number, since it is smaller than the sum of its proper divisors (4177914872384).

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

2513991463360 is a wasteful number, since it uses less digits than its factorization.

2513991463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 52.

The spelling of 2513991463360 in words is "two trillion, five hundred thirteen billion, nine hundred ninety-one million, four hundred sixty-three thousand, three hundred sixty".