2226110400 has 126 divisors (see below), whose sum is σ = 7912173152. Its totient is φ = 593625600.

The previous prime is 2226110377. The next prime is 2226110423. The reversal of 2226110400 is 40116222.

2226110400 is a `hidden beast` number, since 2 + 2 + 261 + 1 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2226110377) and next prime (2226110423).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 62896 + ... + 91695.

Almost surely, 2^2226110400 is an apocalyptic number.

2226110400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226110400 is an abundant number, since it is smaller than the sum of its proper divisors (5686062752).

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

2226110400 is a wasteful number, since it uses less digits than its factorization.

2226110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154619 (or 154601 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2226110400 is about 47181.6744086091. The cubic root of 2226110400 is about 1305.7165220038.

Adding to 2226110400 its reverse (40116222), we get a palindrome (2266226622).

The spelling of 2226110400 in words is "two billion, two hundred twenty-six million, one hundred ten thousand, four hundred".