2210982400 has 240 divisors, whose sum is σ = 6137607168. Its totient is φ = 782336000.

The previous prime is 2210982289. The next prime is 2210982419. The reversal of 2210982400 is 42890122.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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, 5772609 + ... + 5772991.

Almost surely, 2^2210982400 is an apocalyptic number.

2210982400 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 2210982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068803584).

2210982400 is an abundant number, since it is smaller than the sum of its proper divisors (3926624768).

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

2210982400 is a wasteful number, since it uses less digits than its factorization.

2210982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2210982400 is about 47021.0846323221. The cubic root of 2210982400 is about 1302.7520397707.

The spelling of 2210982400 in words is "two billion, two hundred ten million, nine hundred eighty-two thousand, four hundred".