2934261792 has 288 divisors, whose sum is σ = 10461394944. Its totient is φ = 757900800.

The previous prime is 2934261779. The next prime is 2934261857. The reversal of 2934261792 is 2971624392.

2934261792 is a `hidden beast` number, since 29 + 3 + 4 + 2 + 617 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6807817 + ... + 6808247.

It is an arithmetic number, because the mean of its divisors is an integer number (36324288).

Almost surely, 2^2934261792 is an apocalyptic number.

2934261792 is a gapful number since it is divisible by the number (22) 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 2934261792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230697472).

2934261792 is an abundant number, since it is smaller than the sum of its proper divisors (7527133152).

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

2934261792 is a wasteful number, since it uses less digits than its factorization.

2934261792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2934261792 is about 54168.8267548781. The cubic root of 2934261792 is about 1431.6371280754.

The spelling of 2934261792 in words is "two billion, nine hundred thirty-four million, two hundred sixty-one thousand, seven hundred ninety-two".