261083280 has 160 divisors (see below), whose sum is σ = 867801600. Its totient is φ = 64700416.

The previous prime is 261083243. The next prime is 261083293. The reversal of 261083280 is 82380162.

261083280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362761 + ... + 363479.

It is an arithmetic number, because the mean of its divisors is an integer number (5423760).

Almost surely, 2^261083280 is an apocalyptic number.

261083280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433900800).

261083280 is an abundant number, since it is smaller than the sum of its proper divisors (606718320).

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

261083280 is a wasteful number, since it uses less digits than its factorization.

261083280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 261083280 is about 16158.0716671266. The cubic root of 261083280 is about 639.1356169453.

The spelling of 261083280 in words is "two hundred sixty-one million, eighty-three thousand, two hundred eighty".