2506100828 has 96 divisors (see below), whose sum is σ = 5562805248. Its totient is φ = 959616000.

The previous prime is 2506100719. The next prime is 2506100843. The reversal of 2506100828 is 8280016052.

It is a junction number, because it is equal to n+sod(n) for n = 2506100794 and 2506100803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6249428 + ... + 6249828.

It is an arithmetic number, because the mean of its divisors is an integer number (57945888).

Almost surely, 2^2506100828 is an apocalyptic number.

2506100828 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 2506100828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781402624).

2506100828 is an abundant number, since it is smaller than the sum of its proper divisors (3056704420).

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

2506100828 is a wasteful number, since it uses less digits than its factorization.

2506100828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2506100828 is about 50060.9711052433. The cubic root of 2506100828 is about 1358.3119244605.

The spelling of 2506100828 in words is "two billion, five hundred six million, one hundred thousand, eight hundred twenty-eight".