2601152064 has 252 divisors, whose sum is σ = 9052340544. Its totient is φ = 710696448.

The previous prime is 2601152039. The next prime is 2601152069. The reversal of 2601152064 is 4602511062.

2601152064 is a `hidden beast` number, since 2 + 601 + 1 + 52 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (2601152069) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 647149 + ... + 651155.

Almost surely, 2^2601152064 is an apocalyptic number.

2601152064 is a gapful number since it is divisible by the number (24) 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 2601152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526170272).

2601152064 is an abundant number, since it is smaller than the sum of its proper divisors (6451188480).

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

2601152064 is a wasteful number, since it uses less digits than its factorization.

2601152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2601152064 is about 51001.4908017403. The cubic root of 2601152064 is about 1375.2719354606.

The spelling of 2601152064 in words is "two billion, six hundred one million, one hundred fifty-two thousand, sixty-four".