2605730400 has 864 divisors, whose sum is σ = 11704125888. Its totient is φ = 530841600.

The previous prime is 2605730399. The next prime is 2605730423. The reversal of 2605730400 is 40375062.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26863152 + ... + 26863248.

It is an arithmetic number, because the mean of its divisors is an integer number (13546442).

Almost surely, 2^2605730400 is an apocalyptic number.

2605730400 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 2605730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852062944).

2605730400 is an abundant number, since it is smaller than the sum of its proper divisors (9098395488).

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

2605730400 is a wasteful number, since it uses less digits than its factorization.

2605730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2605730400 is about 51046.3554036917. The cubic root of 2605730400 is about 1376.0783430696.

The spelling of 2605730400 in words is "two billion, six hundred five million, seven hundred thirty thousand, four hundred".