2242094400 has 1008 divisors, whose sum is σ = 10318089600. Its totient is φ = 449003520.

The previous prime is 2242094377. The next prime is 2242094417. The reversal of 2242094400 is 44902422.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2242094400² = 10053974597022720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38001571 + ... + 38001629.

It is an arithmetic number, because the mean of its divisors is an integer number (10236200).

Almost surely, 2^2242094400 is an apocalyptic number.

2242094400 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 2242094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159044800).

2242094400 is an abundant number, since it is smaller than the sum of its proper divisors (8075995200).

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

2242094400 is a wasteful number, since it uses less digits than its factorization.

2242094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2242094400 is about 47350.7592336174. The cubic root of 2242094400 is about 1308.8341899793.

Adding to 2242094400 its reverse (44902422), we get a palindrome (2286996822).

The spelling of 2242094400 in words is "two billion, two hundred forty-two million, ninety-four thousand, four hundred".