261142180 has 36 divisors (see below), whose sum is σ = 593835732. Its totient is φ = 96420480.

The previous prime is 261142127. The next prime is 261142181. The reversal of 261142180 is 81241162.

261142180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 26378496 + 234763684 = 5136^2 + 15322^2 .

It is not an unprimeable number, because it can be changed into a prime (261142181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35251 + ... + 42010.

It is an arithmetic number, because the mean of its divisors is an integer number (16495437).

Almost surely, 2^261142180 is an apocalyptic number.

261142180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261142180 is an abundant number, since it is smaller than the sum of its proper divisors (332693552).

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

261142180 is a wasteful number, since it uses less digits than its factorization.

261142180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77296 (or 77281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 261142180 is about 16159.8941828219. The cubic root of 261142180 is about 639.1836760132.

The spelling of 261142180 in words is "two hundred sixty-one million, one hundred forty-two thousand, one hundred eighty".