2742589824 has 128 divisors (see below), whose sum is σ = 7934824800. Its totient is φ = 834256896.

The previous prime is 2742589823. The next prime is 2742589831. The reversal of 2742589824 is 4289852472.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742589823) 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 15 ways as a sum of consecutive naturals, for example, 441202 + ... + 447374.

Almost surely, 2^2742589824 is an apocalyptic number.

2742589824 is a gapful number since it is divisible by the number (24) 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 2742589824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967412400).

2742589824 is an abundant number, since it is smaller than the sum of its proper divisors (5192234976).

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

2742589824 is a wasteful number, since it uses less digits than its factorization.

2742589824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6280 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 2742589824 is about 52369.7414925833. The cubic root of 2742589824 is about 1399.7601330548.

The spelling of 2742589824 in words is "two billion, seven hundred forty-two million, five hundred eighty-nine thousand, eight hundred twenty-four".