2798240256 has 540 divisors, whose sum is σ = 10329093918. Its totient is φ = 752467968.

The previous prime is 2798240231. The next prime is 2798240279. The reversal of 2798240256 is 6520428972.

It can be written as a sum of positive squares in only one way, i.e., 2057529600 + 740710656 = 45360^2 + 27216^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 164602360 + ... + 164602376.

Almost surely, 2^2798240256 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 2798240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164546959).

2798240256 is an abundant number, since it is smaller than the sum of its proper divisors (7530853662).

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

2798240256 is an frugal number, since it uses more digits than its factorization.

2798240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

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

The square root of 2798240256 is about 52898.3955900366. The cubic root of 2798240256 is about 1409.1644121133.

The spelling of 2798240256 in words is "two billion, seven hundred ninety-eight million, two hundred forty thousand, two hundred fifty-six".