2098532800 has 504 divisors, whose sum is σ = 6786128160. Its totient is φ = 632217600.

The previous prime is 2098532789. The next prime is 2098532833. The reversal of 2098532800 is 82358902.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2098532800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29556765 + ... + 29556835.

It is an arithmetic number, because the mean of its divisors is an integer number (13464540).

Almost surely, 2^2098532800 is an apocalyptic number.

2098532800 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 2098532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393064080).

2098532800 is an abundant number, since it is smaller than the sum of its proper divisors (4687595360).

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

2098532800 is a wasteful number, since it uses less digits than its factorization.

2098532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2098532800 is about 45809.7456880084. The cubic root of 2098532800 is about 1280.2808628466.

The spelling of 2098532800 in words is "two billion, ninety-eight million, five hundred thirty-two thousand, eight hundred".