2820828942 has 64 divisors (see below), whose sum is σ = 6504990720. Its totient is φ = 905126400.

The previous prime is 2820828919. The next prime is 2820828943. The reversal of 2820828942 is 2498280282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820828943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318717 + ... + 327447.

It is an arithmetic number, because the mean of its divisors is an integer number (101640480).

Almost surely, 2^2820828942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820828942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252495360).

2820828942 is an abundant number, since it is smaller than the sum of its proper divisors (3684161778).

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

2820828942 is a wasteful number, since it uses less digits than its factorization.

2820828942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2820828942 is about 53111.4765563903. The cubic root of 2820828942 is about 1412.9460629156.

The spelling of 2820828942 in words is "two billion, eight hundred twenty million, eight hundred twenty-eight thousand, nine hundred forty-two".