2671626327552 has 1440 divisors, whose sum is σ = 10227685957632. Its totient is φ = 655037300736.

The previous prime is 2671626327481. The next prime is 2671626327583. The reversal of 2671626327552 is 2557236261762.

2671626327552 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 6 + 2 + 63 + 27 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11769278863 + ... + 11769279089.

Almost surely, 2^{2671626327552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671626327552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5113842978816).

2671626327552 is an abundant number, since it is smaller than the sum of its proper divisors (7556059630080).

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

2671626327552 is a wasteful number, since it uses less digits than its factorization.

2671626327552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 396 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 2671626327552 in words is "two trillion, six hundred seventy-one billion, six hundred twenty-six million, three hundred twenty-seven thousand, five hundred fifty-two".