2668038589440 has 528 divisors, whose sum is σ = 10575049605120. Its totient is φ = 609277870080.

The previous prime is 2668038589399. The next prime is 2668038589457. The reversal of 2668038589440 is 449858308662.

2668038589440 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 0 + 3 + 8 + 589 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425453505 + ... + 425459775.

It is an arithmetic number, because the mean of its divisors is an integer number (20028503040).

Almost surely, 2^{2668038589440} is an apocalyptic number.

2668038589440 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 2668038589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287524802560).

2668038589440 is an abundant number, since it is smaller than the sum of its proper divisors (7907011015680).

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

2668038589440 is a wasteful number, since it uses less digits than its factorization.

2668038589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 2668038589440 in words is "two trillion, six hundred sixty-eight billion, thirty-eight million, five hundred eighty-nine thousand, four hundred forty".