2227878900 has 432 divisors, whose sum is σ = 8325967104. Its totient is φ = 492687360.

The previous prime is 2227878893. The next prime is 2227878901. The reversal of 2227878900 is 98787222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2227878901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4574457 + ... + 4574943.

It is an arithmetic number, because the mean of its divisors is an integer number (19273072).

Almost surely, 2^2227878900 is an apocalyptic number.

2227878900 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 2227878900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162983552).

2227878900 is an abundant number, since it is smaller than the sum of its proper divisors (6098088204).

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

2227878900 is a wasteful number, since it uses less digits than its factorization.

2227878900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2227878900 is about 47200.4120744724. The cubic root of 2227878900 is about 1306.0621994458.

The spelling of 2227878900 in words is "two billion, two hundred twenty-seven million, eight hundred seventy-eight thousand, nine hundred".