2242912896 has 512 divisors, whose sum is σ = 8225280000. Its totient is φ = 587575296.

The previous prime is 2242912891. The next prime is 2242912939. The reversal of 2242912896 is 6982192422.

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 (2242912891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16135995 + ... + 16136133.

It is an arithmetic number, because the mean of its divisors is an integer number (16065000).

Almost surely, 2^2242912896 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 2242912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640000).

2242912896 is an abundant number, since it is smaller than the sum of its proper divisors (5982367104).

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

2242912896 is a wasteful number, since it uses less digits than its factorization.

2242912896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2242912896 is about 47359.4013475677. The cubic root of 2242912896 is about 1308.9934376922.

The spelling of 2242912896 in words is "two billion, two hundred forty-two million, nine hundred twelve thousand, eight hundred ninety-six".