2585276928 has 240 divisors, whose sum is σ = 8132604480. Its totient is φ = 785866752.

The previous prime is 2585276923. The next prime is 2585276957. The reversal of 2585276928 is 8296725852.

It is a happy number.

2585276928 is a `hidden beast` number, since 2 + 58 + 527 + 69 + 2 + 8 = 666.

Its product of digits (4838400) is a multiple of the sum of its prime divisors (540).

It is not an unprimeable number, because it can be changed into a prime (2585276923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6169903 + ... + 6170321.

It is an arithmetic number, because the mean of its divisors is an integer number (33885852).

Almost surely, 2^2585276928 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 2585276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066302240).

2585276928 is an abundant number, since it is smaller than the sum of its proper divisors (5547327552).

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

2585276928 is a wasteful number, since it uses less digits than its factorization.

2585276928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 540 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 2585276928 is about 50845.6185723018. The cubic root of 2585276928 is about 1372.4684089994.

The spelling of 2585276928 in words is "two billion, five hundred eighty-five million, two hundred seventy-six thousand, nine hundred twenty-eight".