2026342400 has 144 divisors (see below), whose sum is σ = 5291067600. Its totient is φ = 767508480.

The previous prime is 2026342399. The next prime is 2026342411. The reversal of 2026342400 is 42436202.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 971759 + ... + 973841.

It is an arithmetic number, because the mean of its divisors is an integer number (36743525).

Almost surely, 2^2026342400 is an apocalyptic number.

2026342400 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 2026342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645533800).

2026342400 is an abundant number, since it is smaller than the sum of its proper divisors (3264725200).

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

2026342400 is a wasteful number, since it uses less digits than its factorization.

2026342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2026342400 is about 45014.9130844435. The cubic root of 2026342400 is about 1265.4284976843.

Adding to 2026342400 its reverse (42436202), we get a palindrome (2068778602).

The spelling of 2026342400 in words is "two billion, twenty-six million, three hundred forty-two thousand, four hundred".