2293864199424 has 864 divisors, whose sum is σ = 7985374924800. Its totient is φ = 643252617216.

The previous prime is 2293864199399. The next prime is 2293864199521. The reversal of 2293864199424 is 4249914683922.

2293864199424 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 86 + 41 + 99 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8925541504 + ... + 8925541760.

Almost surely, 2^{2293864199424} is an apocalyptic number.

2293864199424 is a gapful number since it is divisible by the number (24) 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 2293864199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992687462400).

2293864199424 is an abundant number, since it is smaller than the sum of its proper divisors (5691510725376).

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

2293864199424 is a wasteful number, since it uses less digits than its factorization.

2293864199424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 571 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 2293864199424 in words is "two trillion, two hundred ninety-three billion, eight hundred sixty-four million, one hundred ninety-nine thousand, four hundred twenty-four".