2604135072 has 576 divisors, whose sum is σ = 9625319424. Its totient is φ = 597442560.

The previous prime is 2604135071. The next prime is 2604135109. The reversal of 2604135072 is 2705314062.

It is not an unprimeable number, because it can be changed into a prime (2604135071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49134598 + ... + 49134650.

It is an arithmetic number, because the mean of its divisors is an integer number (16710624).

Almost surely, 2^2604135072 is an apocalyptic number.

2604135072 is a gapful number since it is divisible by the number (22) 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 2604135072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812659712).

2604135072 is an abundant number, since it is smaller than the sum of its proper divisors (7021184352).

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

2604135072 is a wasteful number, since it uses less digits than its factorization.

2604135072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2604135072 is about 51030.7267437962. The cubic root of 2604135072 is about 1375.7974564414.

The spelling of 2604135072 in words is "two billion, six hundred four million, one hundred thirty-five thousand, seventy-two".