2668745016 has 384 divisors, whose sum is σ = 9488448000. Its totient is φ = 689762304.

The previous prime is 2668744951. The next prime is 2668745087. The reversal of 2668745016 is 6105478662.

2668745016 is a `hidden beast` number, since 2 + 66 + 87 + 4 + 501 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4624920 + ... + 4625496.

It is an arithmetic number, because the mean of its divisors is an integer number (24709500).

Almost surely, 2^2668745016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668745016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744224000).

2668745016 is an abundant number, since it is smaller than the sum of its proper divisors (6819702984).

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

2668745016 is a wasteful number, since it uses less digits than its factorization.

2668745016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2668745016 is about 51659.8975608740. The cubic root of 2668745016 is about 1387.0827168836.

The spelling of 2668745016 in words is "two billion, six hundred sixty-eight million, seven hundred forty-five thousand, sixteen".