2801289456 has 240 divisors, whose sum is σ = 9323911168. Its totient is φ = 768268800.

The previous prime is 2801289437. The next prime is 2801289473. The reversal of 2801289456 is 6549821082.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905651 + ... + 4906221.

Almost surely, 2^2801289456 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 2801289456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661955584).

2801289456 is an abundant number, since it is smaller than the sum of its proper divisors (6522621712).

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

2801289456 is a wasteful number, since it uses less digits than its factorization.

2801289456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2801289456 is about 52927.2090327839. The cubic root of 2801289456 is about 1409.6760746760.

The spelling of 2801289456 in words is "two billion, eight hundred one million, two hundred eighty-nine thousand, four hundred fifty-six".