261774120540240 has 480 divisors, whose sum is σ = 1131408154386432. Its totient is φ = 52639956864000.

The previous prime is 261774120540239. The next prime is 261774120540353. The reversal of 261774120540240 is 42045021477162.

261774120540240 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 7 + 41 + 20 + 540 + 2 + 40 = 666.

It is a super-2 number, since 2×261774120540240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74438706 + ... + 77875985.

Almost surely, 2^{261774120540240} is an apocalyptic number.

261774120540240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261774120540240 is an abundant number, since it is smaller than the sum of its proper divisors (869634033846192).

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

261774120540240 is a wasteful number, since it uses less digits than its factorization.

261774120540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152314759 (or 152314750 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 261774120540240 in words is "two hundred sixty-one trillion, seven hundred seventy-four billion, one hundred twenty million, five hundred forty thousand, two hundred forty".