2821940 has 48 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 1008000.

The previous prime is 2821933. The next prime is 2821957. The reversal of 2821940 is 491282.

2821940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22157 + ... + 22283.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

2^2821940 is an apocalyptic number.

2821940 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 2821940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112).

2821940 is an abundant number, since it is smaller than the sum of its proper divisors (3758284).

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

2821940 is a wasteful number, since it uses less digits than its factorization.

2821940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2821940 is about 1679.8630896594. The cubic root of 2821940 is about 141.3131547277.

It can be divided in two parts, 282 and 1940, that added together give a palindrome (2222).

The spelling of 2821940 in words is "two million, eight hundred twenty-one thousand, nine hundred forty".