261042496 has 84 divisors (see below), whose sum is σ = 613413556. Its totient is φ = 109486080.

The previous prime is 261042493. The next prime is 261042503. The reversal of 261042496 is 694240162.

It can be written as a sum of positive squares in 2 ways, for example, as 93702400 + 167340096 = 9680^2 + 12936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261042493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99376 + ... + 101968.

Almost surely, 2^261042496 is an apocalyptic number.

261042496 is a gapful number since it is divisible by the number (26) 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 261042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306706778).

261042496 is an abundant number, since it is smaller than the sum of its proper divisors (352371060).

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

261042496 is a wasteful number, since it uses less digits than its factorization.

261042496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 261042496 is about 16156.8095860538. The cubic root of 261042496 is about 639.1023352731.

The spelling of 261042496 in words is "two hundred sixty-one million, forty-two thousand, four hundred ninety-six".