2814289920 has 672 divisors, whose sum is σ = 11279104200. Its totient is φ = 668860416.

The previous prime is 2814289883. The next prime is 2814289921. The reversal of 2814289920 is 299824182.

It is a happy number.

2814289920 is a `hidden beast` number, since 281 + 4 + 289 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1792336896 + 1021953024 = 42336^2 + 31968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2814289921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 97044466 + ... + 97044494.

Almost surely, 2^2814289920 is an apocalyptic number.

2814289920 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 2814289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639552100).

2814289920 is an abundant number, since it is smaller than the sum of its proper divisors (8464814280).

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

2814289920 is an equidigital number, since it uses as much as digits as its factorization.

2814289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2814289920 is about 53049.8814324782. The cubic root of 2814289920 is about 1411.8534250128.

The spelling of 2814289920 in words is "two billion, eight hundred fourteen million, two hundred eighty-nine thousand, nine hundred twenty".