2818838880 has 672 divisors, whose sum is σ = 11799678240. Its totient is φ = 630789120.

The previous prime is 2818838861. The next prime is 2818838881. The reversal of 2818838880 is 888388182.

2818838880 is a `hidden beast` number, since 2 + 8 + 188 + 388 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2818838881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 216833754 + ... + 216833766.

It is an arithmetic number, because the mean of its divisors is an integer number (17559045).

Almost surely, 2^2818838880 is an apocalyptic number.

2818838880 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 2818838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899839120).

2818838880 is an abundant number, since it is smaller than the sum of its proper divisors (8980839360).

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

2818838880 is an equidigital number, since it uses as much as digits as its factorization.

2818838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The square root of 2818838880 is about 53092.7384865388. The cubic root of 2818838880 is about 1412.6137124107.

The spelling of 2818838880 in words is "two billion, eight hundred eighteen million, eight hundred thirty-eight thousand, eight hundred eighty".