2528670100 has 216 divisors, whose sum is σ = 6732694080. Its totient is φ = 818611200.

The previous prime is 2528670061. The next prime is 2528670113. The reversal of 2528670100 is 10768252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3907977 + ... + 3908623.

It is an arithmetic number, because the mean of its divisors is an integer number (31169880).

Almost surely, 2^2528670100 is an apocalyptic number.

2528670100 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 2528670100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366347040).

2528670100 is an abundant number, since it is smaller than the sum of its proper divisors (4204023980).

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

2528670100 is a wasteful number, since it uses less digits than its factorization.

2528670100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2528670100 is about 50285.8837050717. The cubic root of 2528670100 is about 1362.3772759311.

The spelling of 2528670100 in words is "two billion, five hundred twenty-eight million, six hundred seventy thousand, one hundred".