2042344400 has 60 divisors (see below), whose sum is σ = 4999364172. Its totient is φ = 801515520.

The previous prime is 2042344373. The next prime is 2042344411. The reversal of 2042344400 is 44432402.

It can be written as a sum of positive squares in 6 ways, for example, as 15904144 + 2026440256 = 3988^2 + 45016^2 .

It is a super-3 number, since 3×2042344400³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26969 + ... + 69368.

Almost surely, 2^2042344400 is an apocalyptic number.

2042344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042344400 is an abundant number, since it is smaller than the sum of its proper divisors (2957019772).

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

2042344400 is a wasteful number, since it uses less digits than its factorization.

2042344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96408 (or 96397 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2042344400 is about 45192.3046546644. The cubic root of 2042344400 is about 1268.7507918168.

Adding to 2042344400 its reverse (44432402), we get a palindrome (2086776802).

The spelling of 2042344400 in words is "two billion, forty-two million, three hundred forty-four thousand, four hundred".