2227014400 has 324 divisors, whose sum is σ = 6261630480. Its totient is φ = 782745600.

The previous prime is 2227014379. The next prime is 2227014401. The reversal of 2227014400 is 44107222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2227014401) 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, 31366365 + ... + 31366435.

It is an arithmetic number, because the mean of its divisors is an integer number (19326020).

Almost surely, 2^2227014400 is an apocalyptic number.

2227014400 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 2227014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130815240).

2227014400 is an abundant number, since it is smaller than the sum of its proper divisors (4034616080).

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

2227014400 is a wasteful number, since it uses less digits than its factorization.

2227014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 2227014400 is about 47191.2534268799. The cubic root of 2227014400 is about 1305.8932439959.

The spelling of 2227014400 in words is "two billion, two hundred twenty-seven million, fourteen thousand, four hundred".