2668003968 has 64 divisors (see below), whose sum is σ = 8099305920. Its totient is φ = 762286080.

The previous prime is 2668003967. The next prime is 2668003969. The reversal of 2668003968 is 8693008662.

It is an interprime number because it is at equal distance from previous prime (2668003967) and next prime (2668003969).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2668003963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493593 + ... + 498968.

It is an arithmetic number, because the mean of its divisors is an integer number (126551655).

Almost surely, 2^2668003968 is an apocalyptic number.

2668003968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2668003968 is an abundant number, since it is smaller than the sum of its proper divisors (5431301952).

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

2668003968 is an equidigital number, since it uses as much as digits as its factorization.

2668003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992585 (or 992573 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2668003968 is about 51652.7246909589. The cubic root of 2668003968 is about 1386.9543182015.

The spelling of 2668003968 in words is "two billion, six hundred sixty-eight million, three thousand, nine hundred sixty-eight".