2293968794832 has 960 divisors, whose sum is σ = 8275025920000. Its totient is φ = 602679813120.

The previous prime is 2293968794809. The next prime is 2293968794839. The reversal of 2293968794832 is 2384978693922.

2293968794832 is a `hidden beast` number, since 229 + 396 + 8 + 7 + 9 + 4 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293968794839) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1639719669 + ... + 1639721067.

Almost surely, 2^{2293968794832} is an apocalyptic number.

2293968794832 is a gapful number since it is divisible by the number (22) 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 2293968794832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137512960000).

2293968794832 is an abundant number, since it is smaller than the sum of its proper divisors (5981057125168).

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

2293968794832 is a wasteful number, since it uses less digits than its factorization.

2293968794832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1574 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 2293968794832 in words is "two trillion, two hundred ninety-three billion, nine hundred sixty-eight million, seven hundred ninety-four thousand, eight hundred thirty-two".