2600248000 has 224 divisors, whose sum is σ = 7493690880. Its totient is φ = 875289600.

The previous prime is 2600247997. The next prime is 2600248033. The reversal of 2600248000 is 8420062.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2600248000² = 13522579323008000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3303607 + ... + 3304393.

Almost surely, 2^2600248000 is an apocalyptic number.

2600248000 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 2600248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746845440).

2600248000 is an abundant number, since it is smaller than the sum of its proper divisors (4893442880).

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

2600248000 is an equidigital number, since it uses as much as digits as its factorization.

2600248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2600248000 is about 50992.6269180163. The cubic root of 2600248000 is about 1375.1125858225.

Adding to 2600248000 its reverse (8420062), we get a palindrome (2608668062).

The spelling of 2600248000 in words is "two billion, six hundred million, two hundred forty-eight thousand".