2026432800 has 432 divisors, whose sum is σ = 8436460032. Its totient is φ = 447897600.

The previous prime is 2026432787. The next prime is 2026432801. The reversal of 2026432800 is 82346202.

It is not an unprimeable number, because it can be changed into a prime (2026432801) 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 71 ways as a sum of consecutive naturals, for example, 1561752 + ... + 1563048.

Almost surely, 2^2026432800 is an apocalyptic number.

2026432800 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 2026432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218230016).

2026432800 is an abundant number, since it is smaller than the sum of its proper divisors (6410027232).

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

2026432800 is a wasteful number, since it uses less digits than its factorization.

2026432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1345 counting only the distinct ones).

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

The square root of 2026432800 is about 45015.9171849247. The cubic root of 2026432800 is about 1265.4473153390.

The spelling of 2026432800 in words is "two billion, twenty-six million, four hundred thirty-two thousand, eight hundred".