2982681600 has 264 divisors, whose sum is σ = 10015037568. Its totient is φ = 782745600.

The previous prime is 2982681593. The next prime is 2982681631. The reversal of 2982681600 is 61862892.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5452527 + ... + 5453073.

Almost surely, 2^2982681600 is an apocalyptic number.

2982681600 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 2982681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007518784).

2982681600 is an abundant number, since it is smaller than the sum of its proper divisors (7032355968).

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

2982681600 is a wasteful number, since it uses less digits than its factorization.

2982681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2982681600 is about 54613.9322883822. The cubic root of 2982681600 is about 1439.4689399760.

The spelling of 2982681600 in words is "two billion, nine hundred eighty-two million, six hundred eighty-one thousand, six hundred".