261960454224 has 120 divisors (see below), whose sum is σ = 838002739392. Its totient is φ = 74832883200.

The previous prime is 261960454157. The next prime is 261960454253. The reversal of 261960454224 is 422454069162.

It is a happy number.

261960454224 is a `hidden beast` number, since 2 + 6 + 19 + 604 + 5 + 4 + 2 + 24 = 666.

261960454224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 261960454224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6838324 + ... + 6876524.

Almost surely, 2^261960454224 is an apocalyptic number.

261960454224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261960454224 is an abundant number, since it is smaller than the sum of its proper divisors (576042285168).

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

261960454224 is a wasteful number, since it uses less digits than its factorization.

261960454224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45025 (or 45016 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 2619604 and 54224, that added together give a triangular number (2673828 = T₂₃₁₂).

The spelling of 261960454224 in words is "two hundred sixty-one billion, nine hundred sixty million, four hundred fifty-four thousand, two hundred twenty-four".