2681821731840 has 704 divisors, whose sum is σ = 9266918742144. Its totient is φ = 659545915392.

The previous prime is 2681821731833. The next prime is 2681821731851. The reversal of 2681821731840 is 481371281862.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 2862135852 + ... + 2862136788.

Almost surely, 2^{2681821731840} is an apocalyptic number.

2681821731840 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 2681821731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633459371072).

2681821731840 is an abundant number, since it is smaller than the sum of its proper divisors (6585097010304).

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

2681821731840 is a wasteful number, since it uses less digits than its factorization.

2681821731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 2681821731840 in words is "two trillion, six hundred eighty-one billion, eight hundred twenty-one million, seven hundred thirty-one thousand, eight hundred forty".