2098191744 has 288 divisors, whose sum is σ = 6907478760. Its totient is φ = 606228480.

The previous prime is 2098191737. The next prime is 2098191749. The reversal of 2098191744 is 4471918902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2098191744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098191749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6703332 + ... + 6703644.

Almost surely, 2^2098191744 is an apocalyptic number.

2098191744 is a gapful number since it is divisible by the number (24) 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 2098191744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453739380).

2098191744 is an abundant number, since it is smaller than the sum of its proper divisors (4809287016).

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

2098191744 is a wasteful number, since it uses less digits than its factorization.

2098191744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2098191744 is about 45806.0230100802. The cubic root of 2098191744 is about 1280.2115015088.

The spelling of 2098191744 in words is "two billion, ninety-eight million, one hundred ninety-one thousand, seven hundred forty-four".