2506002100 has 108 divisors (see below), whose sum is σ = 6377258496. Its totient is φ = 852223680.

The previous prime is 2506002077. The next prime is 2506002101. The reversal of 2506002100 is 12006052.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620287 + ... + 624313.

Almost surely, 2^2506002100 is an apocalyptic number.

2506002100 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 2506002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188629248).

2506002100 is an abundant number, since it is smaller than the sum of its proper divisors (3871256396).

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

2506002100 is a wasteful number, since it uses less digits than its factorization.

2506002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2506002100 is about 50059.9850179762. The cubic root of 2506002100 is about 1358.2940872983.

Adding to 2506002100 its reverse (12006052), we get a palindrome (2518008152).

The spelling of 2506002100 in words is "two billion, five hundred six million, two thousand, one hundred".