2513405003400 has 480 divisors, whose sum is σ = 8925857994240. Its totient is φ = 655194147840.

The previous prime is 2513405003327. The next prime is 2513405003411. The reversal of 2513405003400 is 43005043152.

2513405003400 is a `hidden beast` number, since 25 + 134 + 0 + 500 + 3 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×2513405003400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 908348817 + ... + 908351583.

It is an arithmetic number, because the mean of its divisors is an integer number (18595537488).

Almost surely, 2^{2513405003400} is an apocalyptic number.

2513405003400 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 2513405003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462928997120).

2513405003400 is an abundant number, since it is smaller than the sum of its proper divisors (6412452990840).

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

2513405003400 is a wasteful number, since it uses less digits than its factorization.

2513405003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 2513405003400 in words is "two trillion, five hundred thirteen billion, four hundred five million, three thousand, four hundred".