2098189440 has 512 divisors, whose sum is σ = 7931520000. Its totient is φ = 523321344.

The previous prime is 2098189439. The next prime is 2098189477. The reversal of 2098189440 is 449818902.

2098189440 is a `hidden beast` number, since 20 + 9 + 8 + 189 + 440 = 666.

It is a super-2 number, since 2×2098189440² = 8804797852255027200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26559321 + ... + 26559399.

It is an arithmetic number, because the mean of its divisors is an integer number (15491250).

Almost surely, 2^2098189440 is an apocalyptic number.

2098189440 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 2098189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760000).

2098189440 is an abundant number, since it is smaller than the sum of its proper divisors (5833330560).

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

2098189440 is a wasteful number, since it uses less digits than its factorization.

2098189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2098189440 is about 45805.9978605422. The cubic root of 2098189440 is about 1280.2110329135.

The spelling of 2098189440 in words is "two billion, ninety-eight million, one hundred eighty-nine thousand, four hundred forty".