2042164800 has 252 divisors, whose sum is σ = 7817385940. Its totient is φ = 502640640.

The previous prime is 2042164799. The next prime is 2042164801. The reversal of 2042164800 is 84612402.

2042164800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2042164799) and next prime (2042164801).

It can be written as a sum of positive squares in 6 ways, for example, as 429981696 + 1612183104 = 20736^2 + 40152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042164801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181746 + ... + 192654.

Almost surely, 2^2042164800 is an apocalyptic number.

2042164800 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 2042164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908692970).

2042164800 is an abundant number, since it is smaller than the sum of its proper divisors (5775221140).

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

2042164800 is a wasteful number, since it uses less digits than its factorization.

2042164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10950 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2042164800 is about 45190.3175470144. The cubic root of 2042164800 is about 1268.7136001917.

The spelling of 2042164800 in words is "two billion, forty-two million, one hundred sixty-four thousand, eight hundred".