2244440400 has 120 divisors (see below), whose sum is σ = 7200580800. Its totient is φ = 597611520.

The previous prime is 2244440389. The next prime is 2244440431. The reversal of 2244440400 is 40444422.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257909 + ... + 1259691.

It is an arithmetic number, because the mean of its divisors is an integer number (60004840).

Almost surely, 2^2244440400 is an apocalyptic number.

2244440400 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 2244440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600290400).

2244440400 is an abundant number, since it is smaller than the sum of its proper divisors (4956140400).

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

2244440400 is a wasteful number, since it uses less digits than its factorization.

2244440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2244440400 is about 47375.5253269027. The cubic root of 2244440400 is about 1309.2905273947.

Adding to 2244440400 its reverse (40444422), we get a palindrome (2284884822).

The spelling of 2244440400 in words is "two billion, two hundred forty-four million, four hundred forty thousand, four hundred".