2814460080 has 80 divisors (see below), whose sum is σ = 8927761920. Its totient is φ = 733065984.

The previous prime is 2814460073. The next prime is 2814460087. The reversal of 2814460080 is 800644182.

It is an interprime number because it is at equal distance from previous prime (2814460073) and next prime (2814460087).

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 (2814460087) 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, 126040 + ... + 146679.

It is an arithmetic number, because the mean of its divisors is an integer number (111597024).

Almost surely, 2^2814460080 is an apocalyptic number.

2814460080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814460080 is an abundant number, since it is smaller than the sum of its proper divisors (6113301840).

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

2814460080 is a wasteful number, since it uses less digits than its factorization.

2814460080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272778 (or 272772 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2814460080 is about 53051.4851818495. The cubic root of 2814460080 is about 1411.8818793350.

The spelling of 2814460080 in words is "two billion, eight hundred fourteen million, four hundred sixty thousand, eighty".