2026072000 has 112 divisors (see below), whose sum is σ = 5042550240. Its totient is φ = 806400000.

The previous prime is 2026071989. The next prime is 2026072057. The reversal of 2026072000 is 2706202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007496 + ... + 2008504.

It is an arithmetic number, because the mean of its divisors is an integer number (45022770).

Almost surely, 2^2026072000 is an apocalyptic number.

2026072000 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 2026072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521275120).

2026072000 is an abundant number, since it is smaller than the sum of its proper divisors (3016478240).

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

2026072000 is a wasteful number, since it uses less digits than its factorization.

2026072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2026072000 is about 45011.9095351441. The cubic root of 2026072000 is about 1265.3722079070.

Adding to 2026072000 its reverse (2706202), we get a palindrome (2028778202).

The spelling of 2026072000 in words is "two billion, twenty-six million, seventy-two thousand".