2026932768 has 384 divisors, whose sum is σ = 7354368000. Its totient is φ = 530012160.

The previous prime is 2026932751. The next prime is 2026932769. The reversal of 2026932768 is 8672396202.

2026932768 is a `hidden beast` number, since 2 + 0 + 269 + 327 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (2026932769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3561988 + ... + 3562556.

It is an arithmetic number, because the mean of its divisors is an integer number (19152000).

Almost surely, 2^2026932768 is an apocalyptic number.

2026932768 is a gapful number since it is divisible by the number (28) 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 2026932768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2026932768 is an abundant number, since it is smaller than the sum of its proper divisors (5327435232).

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

2026932768 is a wasteful number, since it uses less digits than its factorization.

2026932768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2026932768 is about 45021.4700781749. The cubic root of 2026932768 is about 1265.5513785214.

The spelling of 2026932768 in words is "two billion, twenty-six million, nine hundred thirty-two thousand, seven hundred sixty-eight".