2513384258112 has 1344 divisors, whose sum is σ = 9695488051200. Its totient is φ = 632073093120.

The previous prime is 2513384258069. The next prime is 2513384258153. The reversal of 2513384258112 is 2118524833152.

2513384258112 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 384 + 258 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2490965064 + ... + 2490966072.

It is an arithmetic number, because the mean of its divisors is an integer number (7213904800).

Almost surely, 2^{2513384258112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513384258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847744025600).

2513384258112 is an abundant number, since it is smaller than the sum of its proper divisors (7182103793088).

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

2513384258112 is a wasteful number, since it uses less digits than its factorization.

2513384258112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1138 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 2513384258112 in words is "two trillion, five hundred thirteen billion, three hundred eighty-four million, two hundred fifty-eight thousand, one hundred twelve".