2282148900 has 216 divisors, whose sum is σ = 7735407680. Its totient is φ = 560805120.

The previous prime is 2282148887. The next prime is 2282148959. The reversal of 2282148900 is 98412822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 630897 + ... + 634503.

Almost surely, 2^2282148900 is an apocalyptic number.

2282148900 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 2282148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867703840).

2282148900 is an abundant number, since it is smaller than the sum of its proper divisors (5453258780).

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

2282148900 is a wasteful number, since it uses less digits than its factorization.

2282148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2282148900 is about 47771.8421248333. The cubic root of 2282148900 is about 1316.5822395971.

The spelling of 2282148900 in words is "two billion, two hundred eighty-two million, one hundred forty-eight thousand, nine hundred".