2256176641 has 32 divisors (see below), whose sum is σ = 2568101760. Its totient is φ = 1969422336.

The previous prime is 2256176569. The next prime is 2256176647. The reversal of 2256176641 is 1466716522.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2256176641 - 2¹³ = 2256168449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2256176594 and 2256176603.

It is not an unprimeable number, because it can be changed into a prime (2256176647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352081 + ... + 3352753.

It is an arithmetic number, because the mean of its divisors is an integer number (80253180).

Almost surely, 2^2256176641 is an apocalyptic number.

It is an amenable number.

2256176641 is a deficient number, since it is larger than the sum of its proper divisors (311925119).

2256176641 is a wasteful number, since it uses less digits than its factorization.

2256176641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913.

The product of its digits is 120960, while the sum is 40.

The square root of 2256176641 is about 47499.2277937231. The cubic root of 2256176641 is about 1311.5686666530.

The spelling of 2256176641 in words is "two billion, two hundred fifty-six million, one hundred seventy-six thousand, six hundred forty-one".