2282735000 has 320 divisors, whose sum is σ = 6849057600. Its totient is φ = 693504000.

The previous prime is 2282734999. The next prime is 2282735071. The reversal of 2282735000 is 5372822.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 79 ways as a sum of consecutive naturals, for example, 13194914 + ... + 13195086.

It is an arithmetic number, because the mean of its divisors is an integer number (21403305).

Almost surely, 2^2282735000 is an apocalyptic number.

2282735000 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 2282735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424528800).

2282735000 is an abundant number, since it is smaller than the sum of its proper divisors (4566322600).

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

2282735000 is a wasteful number, since it uses less digits than its factorization.

2282735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2282735000 is about 47777.9760977796. The cubic root of 2282735000 is about 1316.6949378822.

The spelling of 2282735000 in words is "two billion, two hundred eighty-two million, seven hundred thirty-five thousand".