2228464400 has 120 divisors (see below), whose sum is σ = 5830579200. Its totient is φ = 815270400.

The previous prime is 2228464393. The next prime is 2228464409. The reversal of 2228464400 is 44648222.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2228464409) 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, 215345 + ... + 225455.

It is an arithmetic number, because the mean of its divisors is an integer number (48588160).

Almost surely, 2^2228464400 is an apocalyptic number.

2228464400 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 2228464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915289600).

2228464400 is an abundant number, since it is smaller than the sum of its proper divisors (3602114800).

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

2228464400 is a wasteful number, since it uses less digits than its factorization.

2228464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2228464400 is about 47206.6139433872. The cubic root of 2228464400 is about 1306.1766030965.

The spelling of 2228464400 in words is "two billion, two hundred twenty-eight million, four hundred sixty-four thousand, four hundred".