2634742784 has 88 divisors (see below), whose sum is σ = 5495949360. Its totient is φ = 1261338624.

The previous prime is 2634742777. The next prime is 2634742823. The reversal of 2634742784 is 4872474362.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 2333132 + ... + 2334260.

It is an arithmetic number, because the mean of its divisors is an integer number (62453970).

Almost surely, 2^2634742784 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 2634742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747974680).

2634742784 is an abundant number, since it is smaller than the sum of its proper divisors (2861206576).

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

2634742784 is a wasteful number, since it uses less digits than its factorization.

2634742784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1227 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 47.

The square root of 2634742784 is about 51329.7456062272. The cubic root of 2634742784 is about 1381.1666225300.

The spelling of 2634742784 in words is "two billion, six hundred thirty-four million, seven hundred forty-two thousand, seven hundred eighty-four".