261481034790 has 128 divisors (see below), whose sum is σ = 733357670400. Its totient is φ = 66205676160.

The previous prime is 261481034783. The next prime is 261481034791. The reversal of 261481034790 is 97430184162.

261481034790 is a `hidden beast` number, since 26 + 148 + 10 + 3 + 479 + 0 = 666.

261481034790 is digitally balanced in base 7, 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261481034791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148891 + ... + 738329.

It is an arithmetic number, because the mean of its divisors is an integer number (5729356800).

Almost surely, 2^261481034790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261481034790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366678835200).

261481034790 is an abundant number, since it is smaller than the sum of its proper divisors (471876635610).

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

261481034790 is a wasteful number, since it uses less digits than its factorization.

261481034790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589539 (or 589533 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 261481034790 in words is "two hundred sixty-one billion, four hundred eighty-one million, thirty-four thousand, seven hundred ninety".