2671558892672 has 256 divisors, whose sum is σ = 5776367385600. Its totient is φ = 1227541708800.

The previous prime is 2671558892669. The next prime is 2671558892693. The reversal of 2671558892672 is 2762988551762.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630084448 + ... + 4630085024.

It is an arithmetic number, because the mean of its divisors is an integer number (22563935100).

Almost surely, 2^{2671558892672} 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 2671558892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888183692800).

2671558892672 is an abundant number, since it is smaller than the sum of its proper divisors (3104808492928).

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

2671558892672 is a wasteful number, since it uses less digits than its factorization.

2671558892672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 68.

The spelling of 2671558892672 in words is "two trillion, six hundred seventy-one billion, five hundred fifty-eight million, eight hundred ninety-two thousand, six hundred seventy-two".