2601742624 has 48 divisors (see below), whose sum is σ = 5524985592. Its totient is φ = 1198891008.

The previous prime is 2601742609. The next prime is 2601742687. The reversal of 2601742624 is 4262471062.

It can be written as a sum of positive squares in 4 ways, for example, as 932203024 + 1669539600 = 30532^2 + 40860^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2601742624.

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, 275322 + ... + 284614.

Almost surely, 2^2601742624 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 2601742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762492796).

2601742624 is an abundant number, since it is smaller than the sum of its proper divisors (2923242968).

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

2601742624 is a wasteful number, since it uses less digits than its factorization.

2601742624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2601742624 is about 51007.2801078434. The cubic root of 2601742624 is about 1375.3760071843.

The spelling of 2601742624 in words is "two billion, six hundred one million, seven hundred forty-two thousand, six hundred twenty-four".