2695424256 has 576 divisors, whose sum is σ = 10066291200. Its totient is φ = 693633024.

The previous prime is 2695424231. The next prime is 2695424287. The reversal of 2695424256 is 6524245962.

2695424256 is a `hidden beast` number, since 2 + 69 + 542 + 42 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 23853256 + ... + 23853368.

It is an arithmetic number, because the mean of its divisors is an integer number (17476200).

Almost surely, 2^2695424256 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 2695424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033145600).

2695424256 is an abundant number, since it is smaller than the sum of its proper divisors (7370866944).

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

2695424256 is a wasteful number, since it uses less digits than its factorization.

2695424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2695424256 is about 51917.4754393932. The cubic root of 2695424256 is about 1391.6895859557.

The spelling of 2695424256 in words is "two billion, six hundred ninety-five million, four hundred twenty-four thousand, two hundred fifty-six".