2606252100 has 72 divisors (see below), whose sum is σ = 7586056128. Its totient is φ = 690825600.

The previous prime is 2606252053. The next prime is 2606252101. The reversal of 2606252100 is 12526062.

It is not an unprimeable number, because it can be changed into a prime (2606252101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24090 + ... + 76110.

Almost surely, 2^2606252100 is an apocalyptic number.

2606252100 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 2606252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793028064).

2606252100 is an abundant number, since it is smaller than the sum of its proper divisors (4979804028).

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

2606252100 is a wasteful number, since it uses less digits than its factorization.

2606252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52205 (or 52198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2606252100 is about 51051.4652091397. The cubic root of 2606252100 is about 1376.1701730054.

Adding to 2606252100 its reverse (12526062), we get a palindrome (2618778162).

The spelling of 2606252100 in words is "two billion, six hundred six million, two hundred fifty-two thousand, one hundred".