2134424000 has 112 divisors (see below), whose sum is σ = 5306446080. Its totient is φ = 850457600.

The previous prime is 2134423999. The next prime is 2134424021. The reversal of 2134424000 is 4244312.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 3831722 + ... + 3832278.

Almost surely, 2^2134424000 is an apocalyptic number.

2134424000 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 2134424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653223040).

2134424000 is an abundant number, since it is smaller than the sum of its proper divisors (3172022080).

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

2134424000 is an equidigital number, since it uses as much as digits as its factorization.

2134424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2134424000 is about 46199.8268395023. The cubic root of 2134424000 is about 1287.5385227422.

Adding to 2134424000 its reverse (4244312), we get a palindrome (2138668312).

The spelling of 2134424000 in words is "two billion, one hundred thirty-four million, four hundred twenty-four thousand".