2082939600 has 480 divisors, whose sum is σ = 8305500160. Its totient is φ = 435456000.

The previous prime is 2082939589. The next prime is 2082939629. The reversal of 2082939600 is 69392802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4947390 + ... + 4947810.

Almost surely, 2^2082939600 is an apocalyptic number.

2082939600 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 2082939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152750080).

2082939600 is an abundant number, since it is smaller than the sum of its proper divisors (6222560560).

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

2082939600 is a wasteful number, since it uses less digits than its factorization.

2082939600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2082939600 is about 45639.2331223915. The cubic root of 2082939600 is about 1277.1019231688.

The spelling of 2082939600 in words is "two billion, eighty-two million, nine hundred thirty-nine thousand, six hundred".