2605100520 has 256 divisors, whose sum is σ = 9069926400. Its totient is φ = 592317440.

The previous prime is 2605100513. The next prime is 2605100527. The reversal of 2605100520 is 250015062.

It is an interprime number because it is at equal distance from previous prime (2605100513) and next prime (2605100527).

It is not an unprimeable number, because it can be changed into a prime (2605100527) 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 63 ways as a sum of consecutive naturals, for example, 1608271 + ... + 1609889.

It is an arithmetic number, because the mean of its divisors is an integer number (35429400).

Almost surely, 2^2605100520 is an apocalyptic number.

2605100520 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 2605100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534963200).

2605100520 is an abundant number, since it is smaller than the sum of its proper divisors (6464825880).

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

2605100520 is a wasteful number, since it uses less digits than its factorization.

2605100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2605100520 is about 51040.1853444911. The cubic root of 2605100520 is about 1375.9674548932.

Adding to 2605100520 its reverse (250015062), we get a palindrome (2855115582).

The spelling of 2605100520 in words is "two billion, six hundred five million, one hundred thousand, five hundred twenty".