2282952000 has 448 divisors, whose sum is σ = 8764194816. Its totient is φ = 512870400.

The previous prime is 2282951999. The next prime is 2282952043. The reversal of 2282952000 is 2592822.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17975937 + ... + 17976063.

Almost surely, 2^2282952000 is an apocalyptic number.

2282952000 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 2282952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382097408).

2282952000 is an abundant number, since it is smaller than the sum of its proper divisors (6481242816).

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

2282952000 is a wasteful number, since it uses less digits than its factorization.

2282952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2282952000 is about 47780.2469646192. The cubic root of 2282952000 is about 1316.7366588511.

The spelling of 2282952000 in words is "two billion, two hundred eighty-two million, nine hundred fifty-two thousand".