2814130220 has 72 divisors (see below), whose sum is σ = 6512410800. Its totient is φ = 1012983040.

The previous prime is 2814130177. The next prime is 2814130279. The reversal of 2814130220 is 220314182.

It is a happy number.

2814130220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9604394 + ... + 9604686.

It is an arithmetic number, because the mean of its divisors is an integer number (90450150).

Almost surely, 2^2814130220 is an apocalyptic number.

2814130220 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 2814130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256205400).

2814130220 is an abundant number, since it is smaller than the sum of its proper divisors (3698280580).

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

2814130220 is a wasteful number, since it uses less digits than its factorization.

2814130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2814130220 is about 53048.3762239713. The cubic root of 2814130220 is about 1411.8267187786.

The spelling of 2814130220 in words is "two billion, eight hundred fourteen million, one hundred thirty thousand, two hundred twenty".