2601563600 has 120 divisors (see below), whose sum is σ = 6602300640. Its totient is φ = 982402560.

The previous prime is 2601563579. The next prime is 2601563623. The reversal of 2601563600 is 63651062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3548834 + ... + 3549566.

It is an arithmetic number, because the mean of its divisors is an integer number (55019172).

Almost surely, 2^2601563600 is an apocalyptic number.

2601563600 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 2601563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301150320).

2601563600 is an abundant number, since it is smaller than the sum of its proper divisors (4000737040).

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

2601563600 is a wasteful number, since it uses less digits than its factorization.

2601563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2601563600 is about 51005.5251909046. The cubic root of 2601563600 is about 1375.3444602563.

The spelling of 2601563600 in words is "two billion, six hundred one million, five hundred sixty-three thousand, six hundred".