2090410200 has 192 divisors, whose sum is σ = 7513804800. Its totient is φ = 533174400.

The previous prime is 2090410183. The next prime is 2090410279. The reversal of 2090410200 is 20140902.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115785 + ... + 132615.

It is an arithmetic number, because the mean of its divisors is an integer number (39134400).

Almost surely, 2^2090410200 is an apocalyptic number.

2090410200 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 2090410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756902400).

2090410200 is an abundant number, since it is smaller than the sum of its proper divisors (5423394600).

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

2090410200 is a wasteful number, since it uses less digits than its factorization.

2090410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16879 (or 16864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2090410200 is about 45721.0039259857. The cubic root of 2090410200 is about 1278.6269048442.

The spelling of 2090410200 in words is "two billion, ninety million, four hundred ten thousand, two hundred".