2042545200 has 60 divisors (see below), whose sum is σ = 6542956968. Its totient is φ = 544678400.

The previous prime is 2042545187. The next prime is 2042545207. The reversal of 2042545200 is 25452402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2042545207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849861 + ... + 852260.

Almost surely, 2^2042545200 is an apocalyptic number.

2042545200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042545200 is an abundant number, since it is smaller than the sum of its proper divisors (4500411768).

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

2042545200 is a wasteful number, since it uses less digits than its factorization.

2042545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702142 (or 1702131 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2042545200 is about 45194.5262172312. The cubic root of 2042545200 is about 1268.7923709632.

Adding to 2042545200 its reverse (25452402), we get a palindrome (2067997602).

The spelling of 2042545200 in words is "two billion, forty-two million, five hundred forty-five thousand, two hundred".