2605644300 has 288 divisors, whose sum is σ = 9008423424. Its totient is φ = 569088000.

The previous prime is 2605644299. The next prime is 2605644319. The reversal of 2605644300 is 34465062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4563015 + ... + 4563585.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 2^2605644300 is an apocalyptic number.

2605644300 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 2605644300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504211712).

2605644300 is an abundant number, since it is smaller than the sum of its proper divisors (6402779124).

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

2605644300 is a wasteful number, since it uses less digits than its factorization.

2605644300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2605644300 is about 51045.5120456245. The cubic root of 2605644300 is about 1376.0631865195.

The spelling of 2605644300 in words is "two billion, six hundred five million, six hundred forty-four thousand, three hundred".