2585805876 has 96 divisors (see below), whose sum is σ = 7271631360. Its totient is φ = 791424000.

The previous prime is 2585805869. The next prime is 2585805907. The reversal of 2585805876 is 6785085852.

It is a happy number.

2585805876 is a `hidden beast` number, since 2 + 5 + 8 + 58 + 0 + 587 + 6 = 666.

It is a super-2 number, since 2×2585805876² = 13372784056712254752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58101 + ... + 92451.

It is an arithmetic number, because the mean of its divisors is an integer number (75746160).

Almost surely, 2^2585805876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585805876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635815680).

2585805876 is an abundant number, since it is smaller than the sum of its proper divisors (4685825484).

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

2585805876 is a wasteful number, since it uses less digits than its factorization.

2585805876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34422 (or 34414 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The square root of 2585805876 is about 50850.8198164002. The cubic root of 2585805876 is about 1372.5620050222.

The spelling of 2585805876 in words is "two billion, five hundred eighty-five million, eight hundred five thousand, eight hundred seventy-six".