2801456560 has 80 divisors (see below), whose sum is σ = 7527643200. Its totient is φ = 949690368.

The previous prime is 2801456549. The next prime is 2801456561. The reversal of 2801456560 is 656541082.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2801456561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21736 + ... + 77944.

It is an arithmetic number, because the mean of its divisors is an integer number (94095540).

Almost surely, 2^2801456560 is an apocalyptic number.

2801456560 is a gapful number since it is divisible by the number (20) 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 2801456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763821600).

2801456560 is an abundant number, since it is smaller than the sum of its proper divisors (4726186640).

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

2801456560 is a wasteful number, since it uses less digits than its factorization.

2801456560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56318 (or 56312 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 2801456560 is about 52928.7876301734. The cubic root of 2801456560 is about 1409.7041043662.

It can be divided in two parts, 2801 and 456560, that added together give a triangular number (459361 = T₉₅₈).

The spelling of 2801456560 in words is "two billion, eight hundred one million, four hundred fifty-six thousand, five hundred sixty".