2561642060 has 24 divisors (see below), whose sum is σ = 5429728080. Its totient is φ = 1015079744.

The previous prime is 2561642047. The next prime is 2561642063. The reversal of 2561642060 is 602461652.

2561642060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2561642060² = 13124020087122087200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2561642063) 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, 596375 + ... + 600654.

It is an arithmetic number, because the mean of its divisors is an integer number (226238670).

Almost surely, 2^2561642060 is an apocalyptic number.

2561642060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561642060 is an abundant number, since it is smaller than the sum of its proper divisors (2868086020).

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

2561642060 is a wasteful number, since it uses less digits than its factorization.

2561642060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197145 (or 1197143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2561642060 is about 50612.6669915744. Note that the first 3 decimals coincide. The cubic root of 2561642060 is about 1368.2731826501.

It can be divided in two parts, 25616 and 42060, that added together give a palindrome (67676).

The spelling of 2561642060 in words is "two billion, five hundred sixty-one million, six hundred forty-two thousand, sixty".