2668382903040 has 576 divisors, whose sum is σ = 9011485163520. Its totient is φ = 671921602560.

The previous prime is 2668382903027. The next prime is 2668382903047. The reversal of 2668382903040 is 403092838662.

It is not an unprimeable number, because it can be changed into a prime (2668382903047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2847793452 + ... + 2847794388.

It is an arithmetic number, because the mean of its divisors is an integer number (15644939520).

Almost surely, 2^{2668382903040} is an apocalyptic number.

2668382903040 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 2668382903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505742581760).

2668382903040 is an abundant number, since it is smaller than the sum of its proper divisors (6343102260480).

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

2668382903040 is a wasteful number, since it uses less digits than its factorization.

2668382903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 2668382903040 in words is "two trillion, six hundred sixty-eight billion, three hundred eighty-two million, nine hundred three thousand, forty".