2098648800 has 648 divisors, whose sum is σ = 8424070200. Its totient is φ = 489646080.

The previous prime is 2098648787. The next prime is 2098648813. The reversal of 2098648800 is 88468902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2098648787) and next prime (2098648813).

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

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 72367186 + ... + 72367214.

Almost surely, 2^2098648800 is an apocalyptic number.

2098648800 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 2098648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212035100).

2098648800 is an abundant number, since it is smaller than the sum of its proper divisors (6325421400).

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

2098648800 is a wasteful number, since it uses less digits than its factorization.

2098648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2098648800 is about 45811.0117766460. The cubic root of 2098648800 is about 1280.3044523188.

The spelling of 2098648800 in words is "two billion, ninety-eight million, six hundred forty-eight thousand, eight hundred".