2042431400 has 96 divisors (see below), whose sum is σ = 4889921400. Its totient is φ = 792883200.

The previous prime is 2042431367. The next prime is 2042431403. The reversal of 2042431400 is 41342402.

It can be written as a sum of positive squares in 12 ways, for example, as 85784644 + 1956646756 = 9262^2 + 44234^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2042431403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1910066 + ... + 1911134.

Almost surely, 2^2042431400 is an apocalyptic number.

2042431400 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 2042431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444960700).

2042431400 is an abundant number, since it is smaller than the sum of its proper divisors (2847490000).

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

2042431400 is a wasteful number, since it uses less digits than its factorization.

2042431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2042431400 is about 45193.2671976701. The cubic root of 2042431400 is about 1268.7688070206.

Adding to 2042431400 its reverse (41342402), we get a palindrome (2083773802).

The spelling of 2042431400 in words is "two billion, forty-two million, four hundred thirty-one thousand, four hundred".