2681401166752 has 192 divisors, whose sum is σ = 6884963463168. Its totient is φ = 996779520000.

The previous prime is 2681401166707. The next prime is 2681401166791. The reversal of 2681401166752 is 2576611041862.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2681401166696 and 2681401166705.

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, 22666477 + ... + 22784467.

It is an arithmetic number, because the mean of its divisors is an integer number (35859184704).

Almost surely, 2^{2681401166752} is an apocalyptic number.

2681401166752 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 2681401166752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442481731584).

2681401166752 is an abundant number, since it is smaller than the sum of its proper divisors (4203562296416).

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

2681401166752 is a wasteful number, since it uses less digits than its factorization.

2681401166752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118443 (or 118435 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 2681401166752 in words is "two trillion, six hundred eighty-one billion, four hundred one million, one hundred sixty-six thousand, seven hundred fifty-two".