2309134464 has 192 divisors, whose sum is σ = 8178555840. Its totient is φ = 608974848.

The previous prime is 2309134453. The next prime is 2309134481. The reversal of 2309134464 is 4644319032.

It is a happy number.

2309134464 is a `hidden beast` number, since 2 + 309 + 1 + 344 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93819 + ... + 115845.

It is an arithmetic number, because the mean of its divisors is an integer number (42596645).

Almost surely, 2^2309134464 is an apocalyptic number.

2309134464 is a gapful number since it is divisible by the number (24) 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 2309134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089277920).

2309134464 is an abundant number, since it is smaller than the sum of its proper divisors (5869421376).

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

2309134464 is a wasteful number, since it uses less digits than its factorization.

2309134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22067 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2309134464 is about 48053.4542358819. The cubic root of 2309134464 is about 1321.7512843055.

The spelling of 2309134464 in words is "two billion, three hundred nine million, one hundred thirty-four thousand, four hundred sixty-four".