2681669120 has 160 divisors (see below), whose sum is σ = 7290470880. Its totient is φ = 937820160.

The previous prime is 2681669093. The next prime is 2681669149. The reversal of 2681669120 is 219661862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630200 + ... + 634440.

It is an arithmetic number, because the mean of its divisors is an integer number (45565443).

Almost surely, 2^2681669120 is an apocalyptic number.

2681669120 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 2681669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645235440).

2681669120 is an abundant number, since it is smaller than the sum of its proper divisors (4608801760).

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

2681669120 is a wasteful number, since it uses less digits than its factorization.

2681669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 2681669120 is about 51784.8348457345. The cubic root of 2681669120 is about 1389.3182171359.

The spelling of 2681669120 in words is "two billion, six hundred eighty-one million, six hundred sixty-nine thousand, one hundred twenty".