2134854400 has 108 divisors (see below), whose sum is σ = 6039096112. Its totient is φ = 731934720.

The previous prime is 2134854391. The next prime is 2134854409. The reversal of 2134854400 is 44584312.

It is an interprime number because it is at equal distance from previous prime (2134854391) and next prime (2134854409).

It is not an unprimeable number, because it can be changed into a prime (2134854409) by changing a digit.

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, 20974 + ... + 68626.

Almost surely, 2^2134854400 is an apocalyptic number.

2134854400 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 2134854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019548056).

2134854400 is an abundant number, since it is smaller than the sum of its proper divisors (3904241712).

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

2134854400 is an equidigital number, since it uses as much as digits as its factorization.

2134854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47686 (or 47667 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2134854400 is about 46204.4846308234. The cubic root of 2134854400 is about 1287.6250596465.

The spelling of 2134854400 in words is "two billion, one hundred thirty-four million, eight hundred fifty-four thousand, four hundred".