2814317840 has 20 divisors (see below), whose sum is σ = 6543289164. Its totient is φ = 1125727104.

The previous prime is 2814317839. The next prime is 2814317851. The reversal of 2814317840 is 487134182.

2814317840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 488763664 + 2325554176 = 22108^2 + 48224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2814317794 and 2814317803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17589407 + ... + 17589566.

Almost surely, 2^2814317840 is an apocalyptic number.

2814317840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814317840 is an abundant number, since it is smaller than the sum of its proper divisors (3728971324).

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

2814317840 is a wasteful number, since it uses less digits than its factorization.

2814317840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178986 (or 35178980 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 2814317840 is about 53050.1445803873. The cubic root of 2814317840 is about 1411.8580939012.

The spelling of 2814317840 in words is "two billion, eight hundred fourteen million, three hundred seventeen thousand, eight hundred forty".