2082376800 has 432 divisors, whose sum is σ = 8514455040. Its totient is φ = 469048320.

The previous prime is 2082376789. The next prime is 2082376811. The reversal of 2082376800 is 86732802.

It is a happy number.

2082376800 is a `hidden beast` number, since 208 + 2 + 376 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2082376789) and next prime (2082376811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3981339 + ... + 3981861.

Almost surely, 2^2082376800 is an apocalyptic number.

2082376800 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 2082376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257227520).

2082376800 is an abundant number, since it is smaller than the sum of its proper divisors (6432078240).

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

2082376800 is a wasteful number, since it uses less digits than its factorization.

2082376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2082376800 is about 45633.0669580733. The cubic root of 2082376800 is about 1276.9868905955.

The spelling of 2082376800 in words is "two billion, eighty-two million, three hundred seventy-six thousand, eight hundred".