2082399984 has 120 divisors (see below), whose sum is σ = 6890139360. Its totient is φ = 574447104.

The previous prime is 2082399929. The next prime is 2082400003. The reversal of 2082399984 is 4899932802.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2082399984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6387 + ... + 64850.

It is an arithmetic number, because the mean of its divisors is an integer number (57417828).

Almost surely, 2^2082399984 is an apocalyptic number.

2082399984 is a gapful number since it is divisible by the number (24) 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 2082399984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445069680).

2082399984 is an abundant number, since it is smaller than the sum of its proper divisors (4807739376).

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

2082399984 is a wasteful number, since it uses less digits than its factorization.

2082399984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71287 (or 71278 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 2082399984 is about 45633.3209836847. The cubic root of 2082399984 is about 1276.9916296600.

The spelling of 2082399984 in words is "two billion, eighty-two million, three hundred ninety-nine thousand, nine hundred eighty-four".