2242192983912 has 1536 divisors, whose sum is σ = 8297303040000. Its totient is φ = 542822031360.

The previous prime is 2242192983911. The next prime is 2242192983977. The reversal of 2242192983912 is 2193892912422.

2242192983912 is a `hidden beast` number, since 2 + 2 + 421 + 92 + 98 + 39 + 12 = 666.

It is a super-3 number, since 3×2242192983912³ (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2242192983911) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20955074563 + ... + 20955074669.

It is an arithmetic number, because the mean of its divisors is an integer number (5401890000).

Almost surely, 2^{2242192983912} 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 2242192983912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148651520000).

2242192983912 is an abundant number, since it is smaller than the sum of its proper divisors (6055110056088).

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

2242192983912 is a wasteful number, since it uses less digits than its factorization.

2242192983912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 2242192983912 in words is "two trillion, two hundred forty-two billion, one hundred ninety-two million, nine hundred eighty-three thousand, nine hundred twelve".