2134134816 has 48 divisors (see below), whose sum is σ = 6111389088. Its totient is φ = 646707200.

The previous prime is 2134134721. The next prime is 2134134817. The reversal of 2134134816 is 6184314312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2134134817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1009425 + ... + 1011536.

It is an arithmetic number, because the mean of its divisors is an integer number (127320606).

Almost surely, 2^2134134816 is an apocalyptic number.

It is an amenable number.

2134134816 is an abundant number, since it is smaller than the sum of its proper divisors (3977254272).

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

2134134816 is a wasteful number, since it uses less digits than its factorization.

2134134816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020985 (or 2020977 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2134134816 is about 46196.6970247874. The cubic root of 2134134816 is about 1287.4803724158.

The spelling of 2134134816 in words is "two billion, one hundred thirty-four million, one hundred thirty-four thousand, eight hundred sixteen".