2026112400 has 240 divisors, whose sum is σ = 7766725120. Its totient is φ = 498700800.

The previous prime is 2026112369. The next prime is 2026112401. The reversal of 2026112400 is 42116202.

2026112400 is a `hidden beast` number, since 2 + 0 + 261 + 1 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2026112401) 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 47 ways as a sum of consecutive naturals, for example, 133185 + ... + 147615.

Almost surely, 2^2026112400 is an apocalyptic number.

2026112400 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 2026112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883362560).

2026112400 is an abundant number, since it is smaller than the sum of its proper divisors (5740612720).

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

2026112400 is a wasteful number, since it uses less digits than its factorization.

2026112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14471 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2026112400 is about 45012.3583030261. The cubic root of 2026112400 is about 1265.3806183843.

Adding to 2026112400 its reverse (42116202), we get a palindrome (2068228602).

The spelling of 2026112400 in words is "two billion, twenty-six million, one hundred twelve thousand, four hundred".