2683671801720 has 1536 divisors, whose sum is σ = 11098467072000. Its totient is φ = 514047098880.

The previous prime is 2683671801667. The next prime is 2683671801731. The reversal of 2683671801720 is 271081763862.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8741601807 + ... + 8741602113.

It is an arithmetic number, because the mean of its divisors is an integer number (7225564500).

Almost surely, 2^{2683671801720} is an apocalyptic number.

2683671801720 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 2683671801720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549233536000).

2683671801720 is an abundant number, since it is smaller than the sum of its proper divisors (8414795270280).

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

2683671801720 is a wasteful number, since it uses less digits than its factorization.

2683671801720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 2683671801720 in words is "two trillion, six hundred eighty-three billion, six hundred seventy-one million, eight hundred one thousand, seven hundred twenty".