2042546200 has 96 divisors (see below), whose sum is σ = 4890936960. Its totient is φ = 792806400.

The previous prime is 2042546167. The next prime is 2042546237. The reversal of 2042546200 is 26452402.

It is a super-3 number, since 3×2042546200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1828042 + ... + 1829158.

It is an arithmetic number, because the mean of its divisors is an integer number (50947260).

Almost surely, 2^2042546200 is an apocalyptic number.

2042546200 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 2042546200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445468480).

2042546200 is an abundant number, since it is smaller than the sum of its proper divisors (2848390760).

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

2042546200 is a wasteful number, since it uses less digits than its factorization.

2042546200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2042546200 is about 45194.5372805165. The cubic root of 2042546200 is about 1268.7925780238.

Adding to 2042546200 its reverse (26452402), we get a palindrome (2068998602).

The spelling of 2042546200 in words is "two billion, forty-two million, five hundred forty-six thousand, two hundred".