2028282960 has 160 divisors (see below), whose sum is σ = 6962268672. Its totient is φ = 484323840.

The previous prime is 2028282947. The next prime is 2028282961. The reversal of 2028282960 is 692828202.

It is a super-2 number, since 2×2028282960² = 8227863531652723200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028282961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 171147 + ... + 182613.

Almost surely, 2^2028282960 is an apocalyptic number.

2028282960 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 2028282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481134336).

2028282960 is an abundant number, since it is smaller than the sum of its proper divisors (4933985712).

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

2028282960 is a wasteful number, since it uses less digits than its factorization.

2028282960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11561 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2028282960 is about 45036.4625609072. The cubic root of 2028282960 is about 1265.8323215802.

The spelling of 2028282960 in words is "two billion, twenty-eight million, two hundred eighty-two thousand, nine hundred sixty".