2600244560 has 80 divisors (see below), whose sum is σ = 6311186832. Its totient is φ = 995328000.

The previous prime is 2600244533. The next prime is 2600244587. The reversal of 2600244560 is 654420062.

2600244560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2600244533) and next prime (2600244587).

It can be written as a sum of positive squares in 8 ways, for example, as 145636624 + 2454607936 = 12068^2 + 49544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2600244560² = 13522543543619187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173360 + ... + 187760.

Almost surely, 2^2600244560 is an apocalyptic number.

2600244560 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 2600244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155593416).

2600244560 is an abundant number, since it is smaller than the sum of its proper divisors (3710942272).

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

2600244560 is a wasteful number, since it uses less digits than its factorization.

2600244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14512 (or 14506 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2600244560 is about 50992.5931876385. The cubic root of 2600244560 is about 1375.1119794201. Note that the first 3 decimals are identical.

The spelling of 2600244560 in words is "two billion, six hundred million, two hundred forty-four thousand, five hundred sixty".