2134675764 has 144 divisors (see below), whose sum is σ = 6142106880. Its totient is φ = 619695360.

The previous prime is 2134675757. The next prime is 2134675801. The reversal of 2134675764 is 4675764312.

2134675764 is a `hidden beast` number, since 2 + 13 + 4 + 67 + 576 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3832174 + ... + 3832730.

It is an arithmetic number, because the mean of its divisors is an integer number (42653520).

Almost surely, 2^2134675764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134675764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

2134675764 is an abundant number, since it is smaller than the sum of its proper divisors (4007431116).

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

2134675764 is a wasteful number, since it uses less digits than its factorization.

2134675764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1025 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2134675764 is about 46202.5514879860. The cubic root of 2134675764 is about 1287.5891442220.

The spelling of 2134675764 in words is "two billion, one hundred thirty-four million, six hundred seventy-five thousand, seven hundred sixty-four".