2242664400 has 120 divisors (see below), whose sum is σ = 7195568224. Its totient is φ = 597081600.

The previous prime is 2242664363. The next prime is 2242664407. The reversal of 2242664400 is 44662422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2242664400² = 10059087222054720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242664407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051335 + ... + 1053465.

Almost surely, 2^2242664400 is an apocalyptic number.

2242664400 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 2242664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597784112).

2242664400 is an abundant number, since it is smaller than the sum of its proper divisors (4952903824).

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

2242664400 is a wasteful number, since it uses less digits than its factorization.

2242664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2242664400 is about 47356.7777620057. Note that the first 4 decimals coincide. The cubic root of 2242664400 is about 1308.9450940632.

The spelling of 2242664400 in words is "two billion, two hundred forty-two million, six hundred sixty-four thousand, four hundred".