2134234800 has 90 divisors (see below), whose sum is σ = 7406400092. Its totient is φ = 569128320.

The previous prime is 2134234799. The next prime is 2134234811. The reversal of 2134234800 is 84324312.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 292822 + ... + 300021.

Almost surely, 2^2134234800 is an apocalyptic number.

2134234800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134234800 is an abundant number, since it is smaller than the sum of its proper divisors (5272165292).

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

2134234800 is a wasteful number, since it uses less digits than its factorization.

2134234800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592867 (or 592853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2134234800 is about 46197.7791674015. The cubic root of 2134234800 is about 1287.5004782101.

The spelling of 2134234800 in words is "two billion, one hundred thirty-four million, two hundred thirty-four thousand, eight hundred".