2601205920 has 192 divisors, whose sum is σ = 9254407680. Its totient is φ = 682214400.

The previous prime is 2601205909. The next prime is 2601205951. The reversal of 2601205920 is 295021062.

2601205920 is a `hidden beast` number, since 2 + 60 + 12 + 0 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258585 + ... + 268455.

It is an arithmetic number, because the mean of its divisors is an integer number (48200040).

Almost surely, 2^2601205920 is an apocalyptic number.

2601205920 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 2601205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627203840).

2601205920 is an abundant number, since it is smaller than the sum of its proper divisors (6653201760).

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

2601205920 is a wasteful number, since it uses less digits than its factorization.

2601205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2601205920 is about 51002.0187835737. The cubic root of 2601205920 is about 1375.2814269132.

Adding to 2601205920 its reverse (295021062), we get a palindrome (2896226982).

The spelling of 2601205920 in words is "two billion, six hundred one million, two hundred five thousand, nine hundred twenty".