2742435072 has 432 divisors, whose sum is σ = 9225798400. Its totient is φ = 776355840.

The previous prime is 2742435043. The next prime is 2742435077. The reversal of 2742435072 is 2705342472.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742435077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34714329 + ... + 34714407.

Almost surely, 2^2742435072 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 2742435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612899200).

2742435072 is an abundant number, since it is smaller than the sum of its proper divisors (6483363328).

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

2742435072 is a wasteful number, since it uses less digits than its factorization.

2742435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2742435072 is about 52368.2639773365. The cubic root of 2742435072 is about 1399.7338051715.

The spelling of 2742435072 in words is "two billion, seven hundred forty-two million, four hundred thirty-five thousand, seventy-two".