2090212800 has 672 divisors, whose sum is σ = 8148645120. Its totient is φ = 464486400.

The previous prime is 2090212783. The next prime is 2090212829. The reversal of 2090212800 is 82120902.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48609579 + ... + 48609621.

It is an arithmetic number, because the mean of its divisors is an integer number (12125960).

Almost surely, 2^2090212800 is an apocalyptic number.

2090212800 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 2090212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074322560).

2090212800 is an abundant number, since it is smaller than the sum of its proper divisors (6058432320).

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

2090212800 is a wasteful number, since it uses less digits than its factorization.

2090212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2090212800 is about 45718.8451297712. The cubic root of 2090212800 is about 1278.5866561414.

The spelling of 2090212800 in words is "two billion, ninety million, two hundred twelve thousand, eight hundred".