2601223488 has 168 divisors, whose sum is σ = 7663638216. Its totient is φ = 843264000.

The previous prime is 2601223483. The next prime is 2601223529. The reversal of 2601223488 is 8843221062.

2601223488 is a `hidden beast` number, since 2 + 601 + 2 + 2 + 3 + 48 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1085834304 + 1515389184 = 32952^2 + 38928^2 .

It is a super-3 number, since 3×2601223488³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601223483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3548370 + ... + 3549102.

Almost surely, 2^2601223488 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 2601223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831819108).

2601223488 is an abundant number, since it is smaller than the sum of its proper divisors (5062414728).

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

2601223488 is a wasteful number, since it uses less digits than its factorization.

2601223488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2601223488 is about 51002.1910117595. The cubic root of 2601223488 is about 1375.2845230271.

The spelling of 2601223488 in words is "two billion, six hundred one million, two hundred twenty-three thousand, four hundred eighty-eight".