2601864720 has 960 divisors, whose sum is σ = 11779246080. Its totient is φ = 522547200.

The previous prime is 2601864701. The next prime is 2601864721. The reversal of 2601864720 is 274681062.

2601864720 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 8 + 647 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2601864721) 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 191 ways as a sum of consecutive naturals, for example, 42653490 + ... + 42653550.

It is an arithmetic number, because the mean of its divisors is an integer number (12270048).

Almost surely, 2^2601864720 is an apocalyptic number.

2601864720 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 2601864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889623040).

2601864720 is an abundant number, since it is smaller than the sum of its proper divisors (9177381360).

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

2601864720 is a wasteful number, since it uses less digits than its factorization.

2601864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2601864720 is about 51008.4769425632. The cubic root of 2601864720 is about 1375.3975216468.

The spelling of 2601864720 in words is "two billion, six hundred one million, eight hundred sixty-four thousand, seven hundred twenty".