2605198680 has 384 divisors, whose sum is σ = 10637568000. Its totient is φ = 563915520.

The previous prime is 2605198679. The next prime is 2605198681. The reversal of 2605198680 is 868915062.

It is an interprime number because it is at equal distance from previous prime (2605198679) and next prime (2605198681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605198681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1004185 + ... + 1006775.

It is an arithmetic number, because the mean of its divisors is an integer number (27702000).

Almost surely, 2^2605198680 is an apocalyptic number.

2605198680 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 2605198680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318784000).

2605198680 is an abundant number, since it is smaller than the sum of its proper divisors (8032369320).

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

2605198680 is a wasteful number, since it uses less digits than its factorization.

2605198680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2605198680 is about 51041.1469306872. The cubic root of 2605198680 is about 1375.9847367944.

The spelling of 2605198680 in words is "two billion, six hundred five million, one hundred ninety-eight thousand, six hundred eighty".