2671033954680 has 384 divisors, whose sum is σ = 10859293710720. Its totient is φ = 554319728640.

The previous prime is 2671033954669. The next prime is 2671033954727. The reversal of 2671033954680 is 864593301762.

2671033954680 is a `hidden beast` number, since 2 + 6 + 7 + 10 + 3 + 3 + 9 + 546 + 80 = 666.

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, 1330054 + ... + 2666666.

It is an arithmetic number, because the mean of its divisors is an integer number (28279410705).

It is a 1-persistent number, because it is pandigital, but 2⋅2671033954680 = 5342067909360 is not.

Almost surely, 2^{2671033954680} is an apocalyptic number.

2671033954680 is a gapful number since it is divisible by the number (20) 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 2671033954680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429646855360).

2671033954680 is an abundant number, since it is smaller than the sum of its proper divisors (8188259756040).

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

2671033954680 is a wasteful number, since it uses less digits than its factorization.

2671033954680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336711 (or 1336704 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2671033954680 in words is "two trillion, six hundred seventy-one billion, thirty-three million, nine hundred fifty-four thousand, six hundred eighty".