2274589800 has 864 divisors, whose sum is σ = 9898663320. Its totient is φ = 464486400.

The previous prime is 2274589787. The next prime is 2274589813. The reversal of 2274589800 is 89854722.

2274589800 is digitally balanced in base 2 and base 4, because in such bases 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 (2274589787) and next prime (2274589813).

It can be written as a sum of positive squares in 12 ways, for example, as 258759396 + 2015830404 = 16086^2 + 44898^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55477780 + ... + 55477820.

Almost surely, 2^2274589800 is an apocalyptic number.

2274589800 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 2274589800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949331660).

2274589800 is an abundant number, since it is smaller than the sum of its proper divisors (7624073520).

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

2274589800 is a wasteful number, since it uses less digits than its factorization.

2274589800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2274589800 is about 47692.6598125959. The cubic root of 2274589800 is about 1315.1270051350.

The spelling of 2274589800 in words is "two billion, two hundred seventy-four million, five hundred eighty-nine thousand, eight hundred".