2313045134400 has 2016 divisors, whose sum is σ = 10789773696000. Its totient is φ = 420094771200.

The previous prime is 2313045134383. The next prime is 2313045134417. The reversal of 2313045134400 is 44315403132.

It is an interprime number because it is at equal distance from previous prime (2313045134383) and next prime (2313045134417).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 287 ways as a sum of consecutive naturals, for example, 1186784626 + ... + 1186786574.

Almost surely, 2^{2313045134400} is an apocalyptic number.

2313045134400 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 2313045134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394886848000).

2313045134400 is an abundant number, since it is smaller than the sum of its proper divisors (8476728561600).

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

2313045134400 is a wasteful number, since it uses less digits than its factorization.

2313045134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 2313045134400 in words is "two trillion, three hundred thirteen billion, forty-five million, one hundred thirty-four thousand, four hundred".