2668847040 has 336 divisors, whose sum is σ = 9585838080. Its totient is φ = 680785920.

The previous prime is 2668847033. The next prime is 2668847047. The reversal of 2668847040 is 407488662.

2668847040 is a `hidden beast` number, since 2 + 66 + 88 + 470 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2668847033) and next prime (2668847047).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668847047) 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 47 ways as a sum of consecutive naturals, for example, 14909671 + ... + 14909849.

It is an arithmetic number, because the mean of its divisors is an integer number (28529280).

Almost surely, 2^2668847040 is an apocalyptic number.

2668847040 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 2668847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792919040).

2668847040 is an abundant number, since it is smaller than the sum of its proper divisors (6916991040).

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

2668847040 is a wasteful number, since it uses less digits than its factorization.

2668847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2668847040 is about 51660.8850098409. The cubic root of 2668847040 is about 1387.1003923482.

The spelling of 2668847040 in words is "two billion, six hundred sixty-eight million, eight hundred forty-seven thousand, forty".