2338098336 has 144 divisors (see below), whose sum is σ = 7613424000. Its totient is φ = 666745344.

The previous prime is 2338098317. The next prime is 2338098377. The reversal of 2338098336 is 6338908332.

2338098336 is a `hidden beast` number, since 233 + 80 + 9 + 8 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2338098291 and 2338098300.

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 23 ways as a sum of consecutive naturals, for example, 1670565 + ... + 1671963.

It is an arithmetic number, because the mean of its divisors is an integer number (52871000).

Almost surely, 2^2338098336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2338098336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806712000).

2338098336 is an abundant number, since it is smaller than the sum of its proper divisors (5275325664).

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

2338098336 is a wasteful number, since it uses less digits than its factorization.

2338098336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2338098336 is about 48353.8864622069. The cubic root of 2338098336 is about 1327.2546562669.

The spelling of 2338098336 in words is "two billion, three hundred thirty-eight million, ninety-eight thousand, three hundred thirty-six".