2277834000 has 640 divisors, whose sum is σ = 8774438400. Its totient is φ = 503193600.

The previous prime is 2277833963. The next prime is 2277834017. The reversal of 2277834000 is 4387722.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42977974 + ... + 42978026.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^2277834000 is an apocalyptic number.

2277834000 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 2277834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2277834000 is an abundant number, since it is smaller than the sum of its proper divisors (6496604400).

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

2277834000 is a wasteful number, since it uses less digits than its factorization.

2277834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2277834000 is about 47726.6592168360. The cubic root of 2277834000 is about 1315.7519541863.

The spelling of 2277834000 in words is "two billion, two hundred seventy-seven million, eight hundred thirty-four thousand".