2801760480 has 144 divisors (see below), whose sum is σ = 10123508304. Its totient is φ = 703180800.

The previous prime is 2801760443. The next prime is 2801760487. The reversal of 2801760480 is 840671082.

2801760480 is a `hidden beast` number, since 2 + 8 + 0 + 176 + 0 + 480 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801760487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32746 + ... + 81705.

It is an arithmetic number, because the mean of its divisors is an integer number (70302141).

Almost surely, 2^2801760480 is an apocalyptic number.

2801760480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2801760480 is an abundant number, since it is smaller than the sum of its proper divisors (7321747824).

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

2801760480 is a wasteful number, since it uses less digits than its factorization.

2801760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114489 (or 114478 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2801760480 is about 52931.6585797196. The cubic root of 2801760480 is about 1409.7550804412.

The spelling of 2801760480 in words is "two billion, eight hundred one million, seven hundred sixty thousand, four hundred eighty".