2681698288440 has 128 divisors (see below), whose sum is σ = 8293022622720. Its totient is φ = 693224179200.

The previous prime is 2681698288433. The next prime is 2681698288447. The reversal of 2681698288440 is 448828961862.

It is an interprime number because it is at equal distance from previous prime (2681698288433) and next prime (2681698288447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681698288447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88875 + ... + 2317605.

It is an arithmetic number, because the mean of its divisors is an integer number (64789239240).

Almost surely, 2^{2681698288440} is an apocalyptic number.

2681698288440 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 2681698288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146511311360).

2681698288440 is an abundant number, since it is smaller than the sum of its proper divisors (5611324334280).

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

2681698288440 is a wasteful number, since it uses less digits than its factorization.

2681698288440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229053 (or 2229049 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 66.

The spelling of 2681698288440 in words is "two trillion, six hundred eighty-one billion, six hundred ninety-eight million, two hundred eighty-eight thousand, four hundred forty".