2605340192 has 288 divisors, whose sum is σ = 7006608000. Its totient is φ = 944939520.

The previous prime is 2605340189. The next prime is 2605340209. The reversal of 2605340192 is 2910435062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84043217 + ... + 84043247.

It is an arithmetic number, because the mean of its divisors is an integer number (24328500).

Almost surely, 2^2605340192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605340192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503304000).

2605340192 is an abundant number, since it is smaller than the sum of its proper divisors (4401267808).

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

2605340192 is a wasteful number, since it uses less digits than its factorization.

2605340192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2605340192 is about 51042.5331659784. The cubic root of 2605340192 is about 1376.0096504191.

The spelling of 2605340192 in words is "two billion, six hundred five million, three hundred forty thousand, one hundred ninety-two".