2028032640 has 640 divisors, whose sum is σ = 7997616000. Its totient is φ = 487710720.

The previous prime is 2028032639. The next prime is 2028032653. The reversal of 2028032640 is 462308202.

2028032640 is a `hidden beast` number, since 20 + 280 + 326 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2028032640² = 8225832777810739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28563805 + ... + 28563875.

It is an arithmetic number, because the mean of its divisors is an integer number (12496275).

Almost surely, 2^2028032640 is an apocalyptic number.

2028032640 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 2028032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998808000).

2028032640 is an abundant number, since it is smaller than the sum of its proper divisors (5969583360).

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

2028032640 is a wasteful number, since it uses less digits than its factorization.

2028032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2028032640 is about 45033.6833936555. The cubic root of 2028032640 is about 1265.7802453185.

The spelling of 2028032640 in words is "two billion, twenty-eight million, thirty-two thousand, six hundred forty".