2283930735372 has 768 divisors, whose sum is σ = 7399474790400. Its totient is φ = 599622912000.

The previous prime is 2283930735299. The next prime is 2283930735407. The reversal of 2283930735372 is 2735370393822.

2283930735372 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 9 + 30 + 73 + 537 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 6026202279 + ... + 6026202657.

It is an arithmetic number, because the mean of its divisors is an integer number (9634732800).

Almost surely, 2^{2283930735372} is an apocalyptic number.

2283930735372 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 2283930735372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699737395200).

2283930735372 is an abundant number, since it is smaller than the sum of its proper divisors (5115544055028).

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

2283930735372 is a wasteful number, since it uses less digits than its factorization.

2283930735372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 2283930735372 in words is "two trillion, two hundred eighty-three billion, nine hundred thirty million, seven hundred thirty-five thousand, three hundred seventy-two".