2513379380400 has 480 divisors, whose sum is σ = 10227286126080. Its totient is φ = 574287252480.

The previous prime is 2513379380383. The next prime is 2513379380423. The reversal of 2513379380400 is 40839733152.

2513379380400 is a `hidden beast` number, since 2 + 51 + 3 + 37 + 93 + 80 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 416326182 + ... + 416332218.

It is an arithmetic number, because the mean of its divisors is an integer number (21306846096).

Almost surely, 2^{2513379380400} is an apocalyptic number.

2513379380400 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 2513379380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113643063040).

2513379380400 is an abundant number, since it is smaller than the sum of its proper divisors (7713906745680).

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

2513379380400 is a wasteful number, since it uses less digits than its factorization.

2513379380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2513379380400 in words is "two trillion, five hundred thirteen billion, three hundred seventy-nine million, three hundred eighty thousand, four hundred".