2605271040 has 336 divisors, whose sum is σ = 9399253500. Its totient is φ = 692748288.

The previous prime is 2605271017. The next prime is 2605271107. The reversal of 2605271040 is 401725062.

2605271040 is a `hidden beast` number, since 2 + 605 + 2 + 7 + 10 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2598552576 + 6718464 = 50976^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2605270995 and 2605271013.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464786 + ... + 7465134.

Almost surely, 2^2605271040 is an apocalyptic number.

2605271040 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 2605271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699626750).

2605271040 is an abundant number, since it is smaller than the sum of its proper divisors (6793982460).

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

2605271040 is an frugal number, since it uses more digits than its factorization.

2605271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2605271040 is about 51041.8557656361. The cubic root of 2605271040 is about 1375.9974761086.

The spelling of 2605271040 in words is "two billion, six hundred five million, two hundred seventy-one thousand, forty".