2082393600 has 480 divisors, whose sum is σ = 8053579776. Its totient is φ = 464486400.

The previous prime is 2082393589. The next prime is 2082393667. The reversal of 2082393600 is 63932802.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×2082393600³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16396737 + ... + 16396863.

Almost surely, 2^2082393600 is an apocalyptic number.

2082393600 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 2082393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026789888).

2082393600 is an abundant number, since it is smaller than the sum of its proper divisors (5971186176).

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

2082393600 is a wasteful number, since it uses less digits than its factorization.

2082393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2082393600 is about 45633.2510347444. The cubic root of 2082393600 is about 1276.9903247037.

The spelling of 2082393600 in words is "two billion, eighty-two million, three hundred ninety-three thousand, six hundred".