2042124400 has 60 divisors (see below), whose sum is σ = 4915345864. Its totient is φ = 815328000.

The previous prime is 2042124379. The next prime is 2042124421. The reversal of 2042124400 is 44212402.

It is an interprime number because it is at equal distance from previous prime (2042124379) and next prime (2042124421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223930 + ... + 232870.

Almost surely, 2^2042124400 is an apocalyptic number.

2042124400 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 2042124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457672932).

2042124400 is an abundant number, since it is smaller than the sum of its proper divisors (2873221464).

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

2042124400 is a wasteful number, since it uses less digits than its factorization.

2042124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2042124400 is about 45189.8705463957. The cubic root of 2042124400 is about 1268.7052338464.

Adding to 2042124400 its reverse (44212402), we get a palindrome (2086336802).

The spelling of 2042124400 in words is "two billion, forty-two million, one hundred twenty-four thousand, four hundred".