2546643560 has 32 divisors (see below), whose sum is σ = 5734713600. Its totient is φ = 1017810240.

The previous prime is 2546643553. The next prime is 2546643563. The reversal of 2546643560 is 653466452.

It is a happy number.

2546643560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2546643563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23381 + ... + 75099.

It is an arithmetic number, because the mean of its divisors is an integer number (179209800).

Almost surely, 2^2546643560 is an apocalyptic number.

2546643560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2546643560 is an abundant number, since it is smaller than the sum of its proper divisors (3188070040).

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

2546643560 is a wasteful number, since it uses less digits than its factorization.

2546643560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52961 (or 52957 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The square root of 2546643560 is about 50464.2800404405. The cubic root of 2546643560 is about 1365.5975253878.

The spelling of 2546643560 in words is "two billion, five hundred forty-six million, six hundred forty-three thousand, five hundred sixty".