2642724084 has 384 divisors, whose sum is σ = 8786018304. Its totient is φ = 596160000.

The previous prime is 2642724013. The next prime is 2642724089. The reversal of 2642724084 is 4804272462.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642724089) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17501409 + ... + 17501559.

It is an arithmetic number, because the mean of its divisors is an integer number (22880256).

Almost surely, 2^2642724084 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 2642724084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393009152).

2642724084 is an abundant number, since it is smaller than the sum of its proper divisors (6143294220).

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

2642724084 is a wasteful number, since it uses less digits than its factorization.

2642724084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 2642724084 is about 51407.4321864067. The cubic root of 2642724084 is about 1382.5598506071.

The spelling of 2642724084 in words is "two billion, six hundred forty-two million, seven hundred twenty-four thousand, eighty-four".