2227046400 has 432 divisors, whose sum is σ = 8317436400. Its totient is φ = 590561280.

The previous prime is 2227046399. The next prime is 2227046401. The reversal of 2227046400 is 46407222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2227046399) and next prime (2227046401).

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2227046401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441511 + ... + 12441689.

It is an arithmetic number, because the mean of its divisors is an integer number (19253325).

Almost surely, 2^2227046400 is an apocalyptic number.

2227046400 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 2227046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158718200).

2227046400 is an abundant number, since it is smaller than the sum of its proper divisors (6090390000).

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

2227046400 is an equidigital number, since it uses as much as digits as its factorization.

2227046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2227046400 is about 47191.5924715409. The cubic root of 2227046400 is about 1305.8994987651.

The spelling of 2227046400 in words is "two billion, two hundred twenty-seven million, forty-six thousand, four hundred".