2083782400 has 216 divisors, whose sum is σ = 5949626144. Its totient is φ = 707788800.

The previous prime is 2083782353. The next prime is 2083782439. The reversal of 2083782400 is 42873802.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8646280 + ... + 8646520.

Almost surely, 2^2083782400 is an apocalyptic number.

2083782400 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 2083782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974813072).

2083782400 is an abundant number, since it is smaller than the sum of its proper divisors (3865843744).

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

2083782400 is a wasteful number, since it uses less digits than its factorization.

2083782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2083782400 is about 45648.4654725654. The cubic root of 2083782400 is about 1277.2741471359.

The spelling of 2083782400 in words is "two billion, eighty-three million, seven hundred eighty-two thousand, four hundred".