2604242592 has 288 divisors, whose sum is σ = 8860924800. Its totient is φ = 724792320.

The previous prime is 2604242567. The next prime is 2604242593. The reversal of 2604242592 is 2952424062.

It is a happy number.

2604242592 is a `hidden beast` number, since 2 + 60 + 4 + 2 + 4 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2604242593) 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, 4049823 + ... + 4050465.

It is an arithmetic number, because the mean of its divisors is an integer number (30767100).

Almost surely, 2^2604242592 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 2604242592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430462400).

2604242592 is an abundant number, since it is smaller than the sum of its proper divisors (6256682208).

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

2604242592 is a wasteful number, since it uses less digits than its factorization.

2604242592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2604242592 is about 51031.7802158616. The cubic root of 2604242592 is about 1375.8163909056.

The spelling of 2604242592 in words is "two billion, six hundred four million, two hundred forty-two thousand, five hundred ninety-two".