2263525641 has 40 divisors (see below), whose sum is σ = 3647215880. Its totient is φ = 1390722048.

The previous prime is 2263525637. The next prime is 2263525669. The reversal of 2263525641 is 1465253622.

2263525641 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 5 + 2 + 5 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182250000 + 2081275641 = 13500^2 + 45621^2 .

It is not a de Polignac number, because 2263525641 - 2² = 2263525637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2263525596 and 2263525605.

It is not an unprimeable number, because it can be changed into a prime (2263525681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 871641 + ... + 874233.

It is an arithmetic number, because the mean of its divisors is an integer number (91180397).

Almost surely, 2^2263525641 is an apocalyptic number.

It is an amenable number.

2263525641 is a deficient number, since it is larger than the sum of its proper divisors (1383690239).

2263525641 is a wasteful number, since it uses less digits than its factorization.

2263525641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3438 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2263525641 is about 47576.5240533606. The cubic root of 2263525641 is about 1312.9911722490.

The spelling of 2263525641 in words is "two billion, two hundred sixty-three million, five hundred twenty-five thousand, six hundred forty-one".