2585183040 has 280 divisors, whose sum is σ = 10033052832. Its totient is φ = 626641920.

The previous prime is 2585183039. The next prime is 2585183077. The reversal of 2585183040 is 403815852.

It is a happy number.

2585183040 is a `hidden beast` number, since 2 + 585 + 1 + 8 + 30 + 40 = 666.

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 = 2585182986 and 2585183004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280587 + ... + 289653.

Almost surely, 2^2585183040 is an apocalyptic number.

2585183040 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 2585183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016526416).

2585183040 is an abundant number, since it is smaller than the sum of its proper divisors (7447869792).

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

2585183040 is a wasteful number, since it uses less digits than its factorization.

2585183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2585183040 is about 50844.6952985265. The cubic root of 2585183040 is about 1372.4517944191.

Adding to 2585183040 its reverse (403815852), we get a palindrome (2988998892).

The spelling of 2585183040 in words is "two billion, five hundred eighty-five million, one hundred eighty-three thousand, forty".