2600252928 has 600 divisors, whose sum is σ = 9785788848. Its totient is φ = 672841728.

The previous prime is 2600252927. The next prime is 2600252947. The reversal of 2600252928 is 8292520062.

2600252928 is a `hidden beast` number, since 2 + 600 + 2 + 5 + 29 + 28 = 666.

It is a super-2 number, since 2×2600252928² = 13522630579145146368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2600252892 and 2600252901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2600252927) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49061350 + ... + 49061402.

Almost surely, 2^2600252928 is an apocalyptic number.

2600252928 is a gapful number since it is divisible by the number (28) 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 2600252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892894424).

2600252928 is an abundant number, since it is smaller than the sum of its proper divisors (7185535920).

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

2600252928 is an equidigital number, since it uses as much as digits as its factorization.

2600252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2600252928 is about 50992.6752387046. The cubic root of 2600252928 is about 1375.1134545281.

The spelling of 2600252928 in words is "two billion, six hundred million, two hundred fifty-two thousand, nine hundred twenty-eight".