2664110331840 has 224 divisors, whose sum is σ = 8577342881856. Its totient is φ = 700458762240.

The previous prime is 2664110331833. The next prime is 2664110331923. The reversal of 2664110331840 is 481330114662.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314865210 + ... + 314873670.

It is an arithmetic number, because the mean of its divisors is an integer number (38291709294).

Almost surely, 2^{2664110331840} is an apocalyptic number.

2664110331840 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 2664110331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288671440928).

2664110331840 is an abundant number, since it is smaller than the sum of its proper divisors (5913232550016).

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

2664110331840 is a wasteful number, since it uses less digits than its factorization.

2664110331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13047 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 2664110331840 in words is "two trillion, six hundred sixty-four billion, one hundred ten million, three hundred thirty-one thousand, eight hundred forty".