2585955456 has 448 divisors, whose sum is σ = 9150770880. Its totient is φ = 712157184.

The previous prime is 2585955451. The next prime is 2585955473. The reversal of 2585955456 is 6545595852.

It is a happy number.

2585955456 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 95 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585955451) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24167755 + ... + 24167861.

Almost surely, 2^2585955456 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 2585955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575385440).

2585955456 is an abundant number, since it is smaller than the sum of its proper divisors (6564815424).

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

2585955456 is an equidigital number, since it uses as much as digits as its factorization.

2585955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its digits is 10800000, while the sum is 54.

The square root of 2585955456 is about 50852.2905678790. The cubic root of 2585955456 is about 1372.5884705132.

The spelling of 2585955456 in words is "two billion, five hundred eighty-five million, nine hundred fifty-five thousand, four hundred fifty-six".