2585296980 has 192 divisors, whose sum is σ = 9236398080. Its totient is φ = 588083328.

The previous prime is 2585296979. The next prime is 2585297003. The reversal of 2585296980 is 896925852.

2585296980 is a `hidden beast` number, since 2 + 58 + 529 + 69 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 841407 + ... + 844473.

It is an arithmetic number, because the mean of its divisors is an integer number (48106240).

Almost surely, 2^2585296980 is an apocalyptic number.

2585296980 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 2585296980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618199040).

2585296980 is an abundant number, since it is smaller than the sum of its proper divisors (6651101100).

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

2585296980 is a wasteful number, since it uses less digits than its factorization.

2585296980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 2585296980 is about 50845.8157570512. The cubic root of 2585296980 is about 1372.4719573834.

The spelling of 2585296980 in words is "two billion, five hundred eighty-five million, two hundred ninety-six thousand, nine hundred eighty".