2742822432 has 576 divisors, whose sum is σ = 10217975040. Its totient is φ = 710664192.

The previous prime is 2742822431. The next prime is 2742822461. The reversal of 2742822432 is 2342282472.

2742822432 is a `hidden beast` number, since 2 + 7 + 428 + 224 + 3 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (2742822431) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26629293 + ... + 26629395.

It is an arithmetic number, because the mean of its divisors is an integer number (17739540).

Almost surely, 2^2742822432 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 2742822432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108987520).

2742822432 is an abundant number, since it is smaller than the sum of its proper divisors (7475152608).

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

2742822432 is a wasteful number, since it uses less digits than its factorization.

2742822432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 2742822432 is about 52371.9622699016. The cubic root of 2742822432 is about 1399.7997046788.

The spelling of 2742822432 in words is "two billion, seven hundred forty-two million, eight hundred twenty-two thousand, four hundred thirty-two".