2982246400 has 288 divisors, whose sum is σ = 8664757920. Its totient is φ = 996802560.

The previous prime is 2982246367. The next prime is 2982246427. The reversal of 2982246400 is 46422892.

It is a self number, because there is not a number n which added to its sum of digits gives 2982246400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18995122 + ... + 18995278.

It is an arithmetic number, because the mean of its divisors is an integer number (30085965).

Almost surely, 2^2982246400 is an apocalyptic number.

2982246400 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 2982246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332378960).

2982246400 is an abundant number, since it is smaller than the sum of its proper divisors (5682511520).

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

2982246400 is a wasteful number, since it uses less digits than its factorization.

2982246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2982246400 is about 54609.9478117312. The cubic root of 2982246400 is about 1439.3989260939.

The spelling of 2982246400 in words is "two billion, nine hundred eighty-two million, two hundred forty-six thousand, four hundred".