2042094600 has 648 divisors, whose sum is σ = 8701644510. Its totient is φ = 427714560.

The previous prime is 2042094599. The next prime is 2042094619. The reversal of 2042094600 is 64902402.

2042094600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 18714276 + 2023380324 = 4326^2 + 44982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 14905732 + ... + 14905868.

Almost surely, 2^2042094600 is an apocalyptic number.

2042094600 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 2042094600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350822255).

2042094600 is an abundant number, since it is smaller than the sum of its proper divisors (6659549910).

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

2042094600 is a wasteful number, since it uses less digits than its factorization.

2042094600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2042094600 is about 45189.5408252839. The cubic root of 2042094600 is about 1268.6990625606.

The spelling of 2042094600 in words is "two billion, forty-two million, ninety-four thousand, six hundred".