2671755820272 has 240 divisors, whose sum is σ = 9323519542272. Its totient is φ = 693866580480.

The previous prime is 2671755820211. The next prime is 2671755820291. The reversal of 2671755820272 is 2720285571762.

2671755820272 is a `hidden beast` number, since 2 + 6 + 7 + 17 + 558 + 2 + 0 + 2 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117599058 + ... + 117621774.

Almost surely, 2^{2671755820272} is an apocalyptic number.

2671755820272 is a gapful number since it is divisible by the number (22) 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 2671755820272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661759771136).

2671755820272 is an abundant number, since it is smaller than the sum of its proper divisors (6651763722000).

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

2671755820272 is a wasteful number, since it uses less digits than its factorization.

2671755820272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33356 (or 33347 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 2671755820272 in words is "two trillion, six hundred seventy-one billion, seven hundred fifty-five million, eight hundred twenty thousand, two hundred seventy-two".