2942267328 has 756 divisors, whose sum is σ = 11968151832. Its totient is φ = 705438720.

The previous prime is 2942267323. The next prime is 2942267329. The reversal of 2942267328 is 8237622492.

2942267328 is a `hidden beast` number, since 29 + 42 + 267 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

Its product of digits (580608) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942267323) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 226328250 + ... + 226328262.

Almost surely, 2^2942267328 is an apocalyptic number.

2942267328 is a gapful number since it is divisible by the number (28) 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 2942267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984075916).

2942267328 is an abundant number, since it is smaller than the sum of its proper divisors (9025884504).

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

2942267328 is an equidigital number, since it uses as much as digits as its factorization.

2942267328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2942267328 is about 54242.6707307079. The cubic root of 2942267328 is about 1432.9379226337.

It can be divided in two parts, 294 and 2267328, that added together give a palindrome (2267622).

The spelling of 2942267328 in words is "two billion, nine hundred forty-two million, two hundred sixty-seven thousand, three hundred twenty-eight".