2605873140 has 192 divisors, whose sum is σ = 8765809920. Its totient is φ = 638876160.

The previous prime is 2605873139. The next prime is 2605873141. The reversal of 2605873140 is 413785062.

2605873140 is a `hidden beast` number, since 2 + 6 + 0 + 587 + 31 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2605873139) and next prime (2605873141).

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 = 2605873095 and 2605873104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605873141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2224755 + ... + 2225925.

It is an arithmetic number, because the mean of its divisors is an integer number (45655260).

Almost surely, 2^2605873140 is an apocalyptic number.

2605873140 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 2605873140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382904960).

2605873140 is an abundant number, since it is smaller than the sum of its proper divisors (6159936780).

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

2605873140 is a wasteful number, since it uses less digits than its factorization.

2605873140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2605873140 is about 51047.7535254981. The cubic root of 2605873140 is about 1376.1034694649.

The spelling of 2605873140 in words is "two billion, six hundred five million, eight hundred seventy-three thousand, one hundred forty".