2564225632 has 48 divisors (see below), whose sum is σ = 5096196000. Its totient is φ = 1270005760.

The previous prime is 2564225623. The next prime is 2564225641. The reversal of 2564225632 is 2365224652.

2564225632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2564225623) and next prime (2564225641).

It is a junction number, because it is equal to n+sod(n) for n = 2564225591 and 2564225600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3055869 + ... + 3056707.

It is an arithmetic number, because the mean of its divisors is an integer number (106170750).

Almost surely, 2^2564225632 is an apocalyptic number.

It is an amenable number.

2564225632 is a deficient number, since it is larger than the sum of its proper divisors (2531970368).

2564225632 is a wasteful number, since it uses less digits than its factorization.

2564225632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1631 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The square root of 2564225632 is about 50638.1835377218. The cubic root of 2564225632 is about 1368.7330236992.

The spelling of 2564225632 in words is "two billion, five hundred sixty-four million, two hundred twenty-five thousand, six hundred thirty-two".