2274087200 has 576 divisors, whose sum is σ = 7649510400. Its totient is φ = 638668800.

The previous prime is 2274087191. The next prime is 2274087253. The reversal of 2274087200 is 27804722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 33941567 + ... + 33941633.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 2^2274087200 is an apocalyptic number.

2274087200 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 2274087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824755200).

2274087200 is an abundant number, since it is smaller than the sum of its proper divisors (5375423200).

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

2274087200 is a wasteful number, since it uses less digits than its factorization.

2274087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 2274087200 is about 47687.3903668465. The cubic root of 2274087200 is about 1315.0301332327.

The spelling of 2274087200 in words is "two billion, two hundred seventy-four million, eighty-seven thousand, two hundred".