2082476000 has 384 divisors, whose sum is σ = 6113802240. Its totient is φ = 688896000.

The previous prime is 2082475999. The next prime is 2082476009. The reversal of 2082476000 is 6742802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082476009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39291974 + ... + 39292026.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 2^2082476000 is an apocalyptic number.

2082476000 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 2082476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056901120).

2082476000 is an abundant number, since it is smaller than the sum of its proper divisors (4031326240).

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

2082476000 is a wasteful number, since it uses less digits than its factorization.

2082476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2082476000 is about 45634.1538762362. The cubic root of 2082476000 is about 1277.0071679196.

The spelling of 2082476000 in words is "two billion, eighty-two million, four hundred seventy-six thousand".