2605912320 has 576 divisors, whose sum is σ = 10172252160. Its totient is φ = 560332800.

The previous prime is 2605912319. The next prime is 2605912327. The reversal of 2605912320 is 232195062.

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

It is not an unprimeable number, because it can be changed into a prime (2605912327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13643425 + ... + 13643615.

It is an arithmetic number, because the mean of its divisors is an integer number (17660160).

Almost surely, 2^2605912320 is an apocalyptic number.

2605912320 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 2605912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086126080).

2605912320 is an abundant number, since it is smaller than the sum of its proper divisors (7566339840).

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

2605912320 is a wasteful number, since it uses less digits than its factorization.

2605912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2605912320 is about 51048.1372823730. The cubic root of 2605912320 is about 1376.1103661250.

The spelling of 2605912320 in words is "two billion, six hundred five million, nine hundred twelve thousand, three hundred twenty".