2235257856 has 264 divisors, whose sum is σ = 7218606304. Its totient is φ = 686776320.

The previous prime is 2235257839. The next prime is 2235257861. The reversal of 2235257856 is 6587525322.

2235257856 is a `hidden beast` number, since 2 + 2 + 3 + 525 + 78 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234471 + ... + 3235161.

Almost surely, 2^2235257856 is an apocalyptic number.

2235257856 is a gapful number since it is divisible by the number (26) 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 2235257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609303152).

2235257856 is an abundant number, since it is smaller than the sum of its proper divisors (4983348448).

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

2235257856 is an equidigital number, since it uses as much as digits as its factorization.

2235257856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 709 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 2235257856 is about 47278.5136822214. The cubic root of 2235257856 is about 1307.5025462942.

It can be divided in two parts, 22352 and 57856, that added together give a palindrome (80208).

The spelling of 2235257856 in words is "two billion, two hundred thirty-five million, two hundred fifty-seven thousand, eight hundred fifty-six".