2242892160 has 512 divisors, whose sum is σ = 8460288000. Its totient is φ = 560701440.

The previous prime is 2242892147. The next prime is 2242892203. The reversal of 2242892160 is 612982422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28391001 + ... + 28391079.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 2^2242892160 is an apocalyptic number.

2242892160 is a gapful number since it is divisible by the number (20) 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 2242892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230144000).

2242892160 is an abundant number, since it is smaller than the sum of its proper divisors (6217395840).

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

2242892160 is a wasteful number, since it uses less digits than its factorization.

2242892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2242892160 is about 47359.1824253755. The cubic root of 2242892160 is about 1308.9894037458.

The spelling of 2242892160 in words is "two billion, two hundred forty-two million, eight hundred ninety-two thousand, one hundred sixty".