2042484400 has 60 divisors (see below), whose sum is σ = 5353177464. Its totient is φ = 742720000.

The previous prime is 2042484343. The next prime is 2042484403. The reversal of 2042484400 is 44842402.

It is not an unprimeable number, because it can be changed into a prime (2042484403) by changing a digit.

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, 227701 + ... + 236500.

Almost surely, 2^2042484400 is an apocalyptic number.

2042484400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042484400 is an abundant number, since it is smaller than the sum of its proper divisors (3310693064).

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

2042484400 is a wasteful number, since it uses less digits than its factorization.

2042484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464230 (or 464219 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 2042484400 is about 45193.8535643952. The cubic root of 2042484400 is about 1268.7797815491.

The spelling of 2042484400 in words is "two billion, forty-two million, four hundred eighty-four thousand, four hundred".