2134032000 has 256 divisors, whose sum is σ = 7385713920. Its totient is φ = 544051200.

The previous prime is 2134031959. The next prime is 2134032029. The reversal of 2134032000 is 2304312.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 1103034 + ... + 1104966.

It is an arithmetic number, because the mean of its divisors is an integer number (28850445).

Almost surely, 2^2134032000 is an apocalyptic number.

2134032000 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 2134032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692856960).

2134032000 is an abundant number, since it is smaller than the sum of its proper divisors (5251681920).

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

2134032000 is a wasteful number, since it uses less digits than its factorization.

2134032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2134032000 is about 46195.5842045536. The cubic root of 2134032000 is about 1287.4596964793.

Adding to 2134032000 its reverse (2304312), we get a palindrome (2136336312).

The spelling of 2134032000 in words is "two billion, one hundred thirty-four million, thirty-two thousand".