2798354304 has 320 divisors, whose sum is σ = 8864024400. Its totient is φ = 874782720.

The previous prime is 2798354281. The next prime is 2798354347. The reversal of 2798354304 is 4034538972.

2798354304 is a `hidden beast` number, since 27 + 9 + 83 + 543 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2798354304.

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 39 ways as a sum of consecutive naturals, for example, 12327439 + ... + 12327665.

Almost surely, 2^2798354304 is an apocalyptic number.

2798354304 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 2798354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432012200).

2798354304 is an abundant number, since it is smaller than the sum of its proper divisors (6065670096).

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

2798354304 is a wasteful number, since it uses less digits than its factorization.

2798354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2798354304 is about 52899.4735701595. The cubic root of 2798354304 is about 1409.1835563116.

The spelling of 2798354304 in words is "two billion, seven hundred ninety-eight million, three hundred fifty-four thousand, three hundred four".