2442044400 has 120 divisors (see below), whose sum is σ = 8034252144. Its totient is φ = 633600000.

The previous prime is 2442044387. The next prime is 2442044413. The reversal of 2442044400 is 44402442.

It is an interprime number because it is at equal distance from previous prime (2442044387) and next prime (2442044413).

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, 16900 + ... + 71900.

Almost surely, 2^2442044400 is an apocalyptic number.

2442044400 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 2442044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017126072).

2442044400 is an abundant number, since it is smaller than the sum of its proper divisors (5592207744).

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

2442044400 is a wasteful number, since it uses less digits than its factorization.

2442044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55059 (or 55048 counting only the distinct ones).

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

The square root of 2442044400 is about 49417.0456421668. The cubic root of 2442044400 is about 1346.6389917959.

Adding to 2442044400 its reverse (44402442), we get a palindrome (2486446842).

The spelling of 2442044400 in words is "two billion, four hundred forty-two million, forty-four thousand, four hundred".