2262112371792 has 1200 divisors, whose sum is σ = 8535640684032. Its totient is φ = 572659476480.

The previous prime is 2262112371773. The next prime is 2262112371833. The reversal of 2262112371792 is 2971732112622.

2262112371792 is a `hidden beast` number, since 2 + 2 + 621 + 1 + 2 + 3 + 7 + 17 + 9 + 2 = 666.

It is a super-2 number, since 2×2262112371792² (a number of 26 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 4017961303 + ... + 4017961865.

Almost surely, 2^{2262112371792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262112371792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267820342016).

2262112371792 is an abundant number, since it is smaller than the sum of its proper divisors (6273528312240).

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

2262112371792 is a wasteful number, since it uses less digits than its factorization.

2262112371792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 776 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 2262112371792 in words is "two trillion, two hundred sixty-two billion, one hundred twelve million, three hundred seventy-one thousand, seven hundred ninety-two".