2227674430800 has 1920 divisors, whose sum is σ = 10412853534720. Its totient is φ = 438939648000.

The previous prime is 2227674430799. The next prime is 2227674430801. The reversal of 2227674430800 is 80344767222.

2227674430800 is a `hidden beast` number, since 2 + 2 + 2 + 76 + 74 + 430 + 80 + 0 = 666.

2227674430800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2227674430799) and next prime (2227674430801).

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 (2227674430801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2522847159 + ... + 2522848041.

It is an arithmetic number, because the mean of its divisors is an integer number (5423361216).

Almost surely, 2^{2227674430800} is an apocalyptic number.

2227674430800 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 2227674430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206426767360).

2227674430800 is an abundant number, since it is smaller than the sum of its proper divisors (8185179103920).

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

2227674430800 is a wasteful number, since it uses less digits than its factorization.

2227674430800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 2227674430800 in words is "two trillion, two hundred twenty-seven billion, six hundred seventy-four million, four hundred thirty thousand, eight hundred".