2133420400 has 60 divisors (see below), whose sum is σ = 5144717344. Its totient is φ = 850176000.

The previous prime is 2133420391. The next prime is 2133420427. The reversal of 2133420400 is 40243312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98560 + ... + 118240.

Almost surely, 2^2133420400 is an apocalyptic number.

2133420400 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 2133420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572358672).

2133420400 is an abundant number, since it is smaller than the sum of its proper divisors (3011296944).

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

2133420400 is a wasteful number, since it uses less digits than its factorization.

2133420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19970 (or 19959 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2133420400 is about 46188.9640498680. The cubic root of 2133420400 is about 1287.3366921406.

Adding to 2133420400 its reverse (40243312), we get a palindrome (2173663712).

The spelling of 2133420400 in words is "two billion, one hundred thirty-three million, four hundred twenty thousand, four hundred".