2601352320 has 512 divisors, whose sum is σ = 10199347200. Its totient is φ = 550748160.

The previous prime is 2601352289. The next prime is 2601352331. The reversal of 2601352320 is 232531062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15576877 + ... + 15577043.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^2601352320 is an apocalyptic number.

2601352320 is a gapful number since it is divisible by the number (20) 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 2601352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099673600).

2601352320 is an abundant number, since it is smaller than the sum of its proper divisors (7597994880).

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

2601352320 is a wasteful number, since it uses less digits than its factorization.

2601352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2601352320 is about 51003.4540006851. The cubic root of 2601352320 is about 1375.3072274367.

Adding to 2601352320 its reverse (232531062), we get a palindrome (2833883382).

The spelling of 2601352320 in words is "two billion, six hundred one million, three hundred fifty-two thousand, three hundred twenty".