2026400 has 72 divisors (see below), whose sum is σ = 5273100. Its totient is φ = 757760.

The previous prime is 2026397. The next prime is 2026447. The reversal of 2026400 is 46202.

It can be written as a sum of positive squares in 6 ways, for example, as 595984 + 1430416 = 772^2 + 1196^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13526 + ... + 13674.

2^2026400 is an apocalyptic number.

2026400 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 2026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636550).

2026400 is an abundant number, since it is smaller than the sum of its proper divisors (3246700).

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

2026400 is a wasteful number, since it uses less digits than its factorization.

2026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2026400 is about 1423.5167719419. The cubic root of 2026400 is about 126.5440487759.

The spelling of 2026400 in words is "two million, twenty-six thousand, four hundred".