2262221600 has 144 divisors (see below), whose sum is σ = 5668762176. Its totient is φ = 881280000.

The previous prime is 2262221581. The next prime is 2262221609. The reversal of 2262221600 is 61222622.

It is not an unprimeable number, because it can be changed into a prime (2262221609) 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 23 ways as a sum of consecutive naturals, for example, 7368647 + ... + 7368953.

It is an arithmetic number, because the mean of its divisors is an integer number (39366404).

Almost surely, 2^2262221600 is an apocalyptic number.

2262221600 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 2262221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834381088).

2262221600 is an abundant number, since it is smaller than the sum of its proper divisors (3406540576).

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

2262221600 is a wasteful number, since it uses less digits than its factorization.

2262221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2262221600 is about 47562.8174102418. The cubic root of 2262221600 is about 1312.7389811244.

The spelling of 2262221600 in words is "two billion, two hundred sixty-two million, two hundred twenty-one thousand, six hundred".