2293912982400 has 1152 divisors, whose sum is σ = 8499152448000. Its totient is φ = 543180718080.

The previous prime is 2293912982381. The next prime is 2293912982429. The reversal of 2293912982400 is 42892193922.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5108937376 + ... + 5108937824.

It is an arithmetic number, because the mean of its divisors is an integer number (7377736500).

Almost surely, 2^{2293912982400} is an apocalyptic number.

2293912982400 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 2293912982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249576224000).

2293912982400 is an abundant number, since it is smaller than the sum of its proper divisors (6205239465600).

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

2293912982400 is a wasteful number, since it uses less digits than its factorization.

2293912982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 2293912982400 in words is "two trillion, two hundred ninety-three billion, nine hundred twelve million, nine hundred eighty-two thousand, four hundred".