2042544400 has 120 divisors (see below), whose sum is σ = 5335533504. Its totient is φ = 746918400.

The previous prime is 2042544397. The next prime is 2042544431. The reversal of 2042544400 is 44452402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 554565 + ... + 558235.

Almost surely, 2^2042544400 is an apocalyptic number.

2042544400 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 2042544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667766752).

2042544400 is an abundant number, since it is smaller than the sum of its proper divisors (3292989104).

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

2042544400 is a wasteful number, since it uses less digits than its factorization.

2042544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 2042544400 is about 45194.5173666010. The cubic root of 2042544400 is about 1268.7922053146.

Adding to 2042544400 its reverse (44452402), we get a palindrome (2086996802).

The spelling of 2042544400 in words is "two billion, forty-two million, five hundred forty-four thousand, four hundred".