2934456768 has 224 divisors, whose sum is σ = 9199595520. Its totient is φ = 914042880.

The previous prime is 2934456757. The next prime is 2934456773. The reversal of 2934456768 is 8676544392.

It is a super-2 number, since 2×2934456768² = 17222073046522011648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5610555 + ... + 5611077.

Almost surely, 2^2934456768 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 2934456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599797760).

2934456768 is an abundant number, since it is smaller than the sum of its proper divisors (6265138752).

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

2934456768 is a wasteful number, since it uses less digits than its factorization.

2934456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 736 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 2934456768 is about 54170.6264316742. The cubic root of 2934456768 is about 1431.6688372091.

The spelling of 2934456768 in words is "two billion, nine hundred thirty-four million, four hundred fifty-six thousand, seven hundred sixty-eight".