2668753059840 has 1824 divisors, whose sum is σ = 11762483702400. Its totient is φ = 577895399424.

The previous prime is 2668753059823. The next prime is 2668753059851. The reversal of 2668753059840 is 489503578662.

It is a happy number.

2668753059840 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 7 + 5 + 30 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1824).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140460687351 + ... + 140460687369.

It is an arithmetic number, because the mean of its divisors is an integer number (6448730100).

Almost surely, 2^{2668753059840} is an apocalyptic number.

2668753059840 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 2668753059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881241851200).

2668753059840 is an abundant number, since it is smaller than the sum of its proper divisors (9093730642560).

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

2668753059840 is an frugal number, since it uses more digits than its factorization.

2668753059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2668753059840 in words is "two trillion, six hundred sixty-eight billion, seven hundred fifty-three million, fifty-nine thousand, eight hundred forty".