2098456704 has 192 divisors, whose sum is σ = 6520737600. Its totient is φ = 645765120.

The previous prime is 2098456627. The next prime is 2098456721. The reversal of 2098456704 is 4076548902.

It is a happy number.

2098456704 is a `hidden beast` number, since 2 + 0 + 9 + 84 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2098456704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767019 + ... + 769749.

It is an arithmetic number, because the mean of its divisors is an integer number (33962175).

Almost surely, 2^2098456704 is an apocalyptic number.

2098456704 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 2098456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260368800).

2098456704 is an abundant number, since it is smaller than the sum of its proper divisors (4422280896).

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

2098456704 is a wasteful number, since it uses less digits than its factorization.

2098456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2098456704 is about 45808.9151148551. The cubic root of 2098456704 is about 1280.2653876806.

The spelling of 2098456704 in words is "two billion, ninety-eight million, four hundred fifty-six thousand, seven hundred four".