2282154000 has 320 divisors, whose sum is σ = 8544786432. Its totient is φ = 513216000.

The previous prime is 2282153999. The next prime is 2282154019. The reversal of 2282154000 is 4512822.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2813595 + ... + 2814405.

Almost surely, 2^2282154000 is an apocalyptic number.

2282154000 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 2282154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272393216).

2282154000 is an abundant number, since it is smaller than the sum of its proper divisors (6262632432).

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

2282154000 is a wasteful number, since it uses less digits than its factorization.

2282154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2282154000 is about 47771.8955035280. The cubic root of 2282154000 is about 1316.5832203342.

Adding to 2282154000 its reverse (4512822), we get a palindrome (2286666822).

The spelling of 2282154000 in words is "two billion, two hundred eighty-two million, one hundred fifty-four thousand".