2028252960 has 168 divisors, whose sum is σ = 7184748060. Its totient is φ = 540836352.

The previous prime is 2028252923. The next prime is 2028252973. The reversal of 2028252960 is 692528202.

It can be written as a sum of positive squares in 2 ways, for example, as 2028241296 + 11664 = 45036^2 + 108^2 .

It is a super-2 number, since 2×2028252960² = 8227620139497523200, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 107946 + ... + 125334.

Almost surely, 2^2028252960 is an apocalyptic number.

2028252960 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 2028252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592374030).

2028252960 is an abundant number, since it is smaller than the sum of its proper divisors (5156495100).

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

2028252960 is an equidigital number, since it uses as much as digits as its factorization.

2028252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17422 (or 17399 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2028252960 is about 45036.1294962167. The cubic root of 2028252960 is about 1265.8260806435.

The spelling of 2028252960 in words is "two billion, twenty-eight million, two hundred fifty-two thousand, nine hundred sixty".