2605734144 has 288 divisors, whose sum is σ = 8488650240. Its totient is φ = 783433728.

The previous prime is 2605734127. The next prime is 2605734179. The reversal of 2605734144 is 4414375062.

2605734144 is a `hidden beast` number, since 2 + 6 + 0 + 573 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2605734099 and 2605734108.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4222924 + ... + 4223540.

It is an arithmetic number, because the mean of its divisors is an integer number (29474480).

Almost surely, 2^2605734144 is an apocalyptic number.

2605734144 is a gapful number since it is divisible by the number (24) 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 2605734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244325120).

2605734144 is an abundant number, since it is smaller than the sum of its proper divisors (5882916096).

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

2605734144 is a wasteful number, since it uses less digits than its factorization.

2605734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2605734144 is about 51046.3920762281. The cubic root of 2605734144 is about 1376.0790021343.

The spelling of 2605734144 in words is "two billion, six hundred five million, seven hundred thirty-four thousand, one hundred forty-four".