2585071104 has 240 divisors, whose sum is σ = 8655529344. Its totient is φ = 671109120.

The previous prime is 2585071091. The next prime is 2585071123. The reversal of 2585071104 is 4011705852.

It is a super-2 number, since 2×2585071104² = 13365185225471557632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299999 + ... + 1301985.

Almost surely, 2^2585071104 is an apocalyptic number.

2585071104 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 2585071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327764672).

2585071104 is an abundant number, since it is smaller than the sum of its proper divisors (6070458240).

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

2585071104 is a wasteful number, since it uses less digits than its factorization.

2585071104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 2585071104 is about 50843.5945228108. The cubic root of 2585071104 is about 1372.4319855082.

Adding to 2585071104 its reverse (4011705852), we get a palindrome (6596776956).

The spelling of 2585071104 in words is "two billion, five hundred eighty-five million, seventy-one thousand, one hundred four".