2028281640 has 512 divisors, whose sum is σ = 8020131840. Its totient is φ = 398131200.

The previous prime is 2028281639. The next prime is 2028281669. The reversal of 2028281640 is 461828202.

It is a happy number.

2028281640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2028281640² = 8227852822322179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20910072 + ... + 20910168.

It is an arithmetic number, because the mean of its divisors is an integer number (15664320).

Almost surely, 2^2028281640 is an apocalyptic number.

2028281640 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 2028281640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010065920).

2028281640 is an abundant number, since it is smaller than the sum of its proper divisors (5991850200).

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

2028281640 is a wasteful number, since it uses less digits than its factorization.

2028281640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2028281640 is about 45036.4479061127. The cubic root of 2028281640 is about 1265.8320469803.

The spelling of 2028281640 in words is "two billion, twenty-eight million, two hundred eighty-one thousand, six hundred forty".