2605628300 has 144 divisors (see below), whose sum is σ = 6374592000. Its totient is φ = 916320000.

The previous prime is 2605628297. The next prime is 2605628317. The reversal of 2605628300 is 38265062.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5221451 + ... + 5221949.

It is an arithmetic number, because the mean of its divisors is an integer number (44268000).

Almost surely, 2^2605628300 is an apocalyptic number.

2605628300 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 2605628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187296000).

2605628300 is an abundant number, since it is smaller than the sum of its proper divisors (3768963700).

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

2605628300 is a wasteful number, since it uses less digits than its factorization.

2605628300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2605628300 is about 51045.3553224973. The cubic root of 2605628300 is about 1376.0603699345.

It can be divided in two parts, 260562 and 8300, that added together give a palindrome (268862).

The spelling of 2605628300 in words is "two billion, six hundred five million, six hundred twenty-eight thousand, three hundred".