2671988981760 has 1920 divisors, whose sum is σ = 11837642342400. Its totient is φ = 558020689920.

The previous prime is 2671988981719. The next prime is 2671988981861. The reversal of 2671988981760 is 671898891762.

2671988981760 is a `hidden beast` number, since 267 + 198 + 8 + 9 + 8 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2671988981760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9119416174 + ... + 9119416466.

It is an arithmetic number, because the mean of its divisors is an integer number (6165438720).

Almost surely, 2^{2671988981760} is an apocalyptic number.

2671988981760 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 2671988981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918821171200).

2671988981760 is an abundant number, since it is smaller than the sum of its proper divisors (9165653360640).

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

2671988981760 is a wasteful number, since it uses less digits than its factorization.

2671988981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 2671988981760 in words is "two trillion, six hundred seventy-one billion, nine hundred eighty-eight million, nine hundred eighty-one thousand, seven hundred sixty".