2082420252 has 120 divisors (see below), whose sum is σ = 5955087600. Its totient is φ = 629303040.

The previous prime is 2082420251. The next prime is 2082420259. The reversal of 2082420252 is 2520242802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082420251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1984624 + ... + 1985672.

It is an arithmetic number, because the mean of its divisors is an integer number (49625730).

Almost surely, 2^2082420252 is an apocalyptic number.

2082420252 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 2082420252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977543800).

2082420252 is an abundant number, since it is smaller than the sum of its proper divisors (3872667348).

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

2082420252 is a wasteful number, since it uses less digits than its factorization.

2082420252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2082420252 is about 45633.5430577114. The cubic root of 2082420252 is about 1276.9957726333.

The spelling of 2082420252 in words is "two billion, eighty-two million, four hundred twenty thousand, two hundred fifty-two".