2134009400 has 24 divisors (see below), whose sum is σ = 4961572320. Its totient is φ = 853603680.

The previous prime is 2134009393. The next prime is 2134009417. The reversal of 2134009400 is 49004312.

It is a super-2 number, since 2×2134009400² = 9107992238576720000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 5334824 + ... + 5335223.

It is an arithmetic number, because the mean of its divisors is an integer number (206732180).

Almost surely, 2^2134009400 is an apocalyptic number.

2134009400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134009400 is an abundant number, since it is smaller than the sum of its proper divisors (2827562920).

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

2134009400 is a wasteful number, since it uses less digits than its factorization.

2134009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670063 (or 10670054 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2134009400 is about 46195.3395917813. The cubic root of 2134009400 is about 1287.4551516096.

The spelling of 2134009400 in words is "two billion, one hundred thirty-four million, nine thousand, four hundred".