2513151440000 has 160 divisors (see below), whose sum is σ = 6258756556800. Its totient is φ = 1004871296000.

The previous prime is 2513151439991. The next prime is 2513151440011. The reversal of 2513151440000 is 441513152.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297515777 + ... + 297524223.

It is an arithmetic number, because the mean of its divisors is an integer number (39117228480).

Almost surely, 2^{2513151440000} is an apocalyptic number.

2513151440000 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 2513151440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129378278400).

2513151440000 is an abundant number, since it is smaller than the sum of its proper divisors (3745605116800).

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

2513151440000 is an frugal number, since it uses more digits than its factorization.

2513151440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 2513151440000 its reverse (441513152), we get a palindrome (2513592953152).

The spelling of 2513151440000 in words is "two trillion, five hundred thirteen billion, one hundred fifty-one million, four hundred forty thousand".