2042333400 has 96 divisors (see below), whose sum is σ = 6502418640. Its totient is φ = 529896960.

The previous prime is 2042333399. The next prime is 2042333509. The reversal of 2042333400 is 43332402.

It is a super-2 number, since 2×2042333400² = 8342251433511120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 23799 + ... + 68198.

Almost surely, 2^2042333400 is an apocalyptic number.

2042333400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042333400 is an abundant number, since it is smaller than the sum of its proper divisors (4460085240).

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

2042333400 is a wasteful number, since it uses less digits than its factorization.

2042333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92053 (or 92044 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2042333400 is about 45192.1829523647. The cubic root of 2042333400 is about 1268.7485139960.

Adding to 2042333400 its reverse (43332402), we get a palindrome (2085665802).

The spelling of 2042333400 in words is "two billion, forty-two million, three hundred thirty-three thousand, four hundred".