261247487424 has 672 divisors, whose sum is σ = 914301683712. Its totient is φ = 65569996800.

The previous prime is 261247487401. The next prime is 261247487447. The reversal of 261247487424 is 424784742162.

It is an interprime number because it is at equal distance from previous prime (261247487401) and next prime (261247487447).

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388183152 + ... + 388183824.

Almost surely, 2^261247487424 is an apocalyptic number.

261247487424 is a gapful number since it is divisible by the number (24) 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 261247487424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457150841856).

261247487424 is an abundant number, since it is smaller than the sum of its proper divisors (653054196288).

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

261247487424 is a wasteful number, since it uses less digits than its factorization.

261247487424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 727 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 51.

The spelling of 261247487424 in words is "two hundred sixty-one billion, two hundred forty-seven million, four hundred eighty-seven thousand, four hundred twenty-four".