261657022465242 has 80 divisors (see below), whose sum is σ = 605230160198400. Its totient is φ = 84403883450880.

The previous prime is 261657022465199. The next prime is 261657022465271. The reversal of 261657022465242 is 242564220756162.

261657022465242 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 5 + 70 + 2 + 2 + 46 + 524 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 278850234 + ... + 279787002.

It is an arithmetic number, because the mean of its divisors is an integer number (7565377002480).

Almost surely, 2^{261657022465242} is an apocalyptic number.

261657022465242 is an abundant number, since it is smaller than the sum of its proper divisors (343573137733158).

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

261657022465242 is a wasteful number, since it uses less digits than its factorization.

261657022465242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992433 (or 992424 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 261657022465242 in words is "two hundred sixty-one trillion, six hundred fifty-seven billion, twenty-two million, four hundred sixty-five thousand, two hundred forty-two".