2585200716 has 144 divisors (see below), whose sum is σ = 7796513088. Its totient is φ = 706867200.

The previous prime is 2585200691. The next prime is 2585200771. The reversal of 2585200716 is 6170025852.

It is a happy number.

2585200716 is a `hidden beast` number, since 2 + 585 + 2 + 0 + 0 + 71 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545236 + ... + 549956.

It is an arithmetic number, because the mean of its divisors is an integer number (54142452).

Almost surely, 2^2585200716 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 2585200716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898256544).

2585200716 is an abundant number, since it is smaller than the sum of its proper divisors (5211312372).

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

2585200716 is a wasteful number, since it uses less digits than its factorization.

2585200716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2585200716 is about 50844.8691216724. The cubic root of 2585200716 is about 1372.4549224249.

The spelling of 2585200716 in words is "two billion, five hundred eighty-five million, two hundred thousand, seven hundred sixteen".