2820381872 has 160 divisors (see below), whose sum is σ = 7253535744. Its totient is φ = 1028505600.

The previous prime is 2820381857. The next prime is 2820381881. The reversal of 2820381872 is 2781830282.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6513368 + ... + 6513800.

Almost surely, 2^2820381872 is an apocalyptic number.

2820381872 is a gapful number since it is divisible by the number (22) 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 2820381872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626767872).

2820381872 is an abundant number, since it is smaller than the sum of its proper divisors (4433153872).

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

2820381872 is a wasteful number, since it uses less digits than its factorization.

2820381872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 2820381872 is about 53107.2676005836. The cubic root of 2820381872 is about 1412.8714135620.

The spelling of 2820381872 in words is "two billion, eight hundred twenty million, three hundred eighty-one thousand, eight hundred seventy-two".