2668576942080 has 1152 divisors, whose sum is σ = 11684792246400. Its totient is φ = 574030872576.

The previous prime is 2668576942079. The next prime is 2668576942091. The reversal of 2668576942080 is 802496758662.

2668576942080 is a `hidden beast` number, since 2 + 6 + 68 + 5 + 76 + 9 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 2668576941999 and 2668576942017.

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, 230302047 + ... + 230313633.

It is an arithmetic number, because the mean of its divisors is an integer number (10143048825).

Almost surely, 2^{2668576942080} is an apocalyptic number.

2668576942080 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 2668576942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842396123200).

2668576942080 is an abundant number, since it is smaller than the sum of its proper divisors (9016215304320).

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

2668576942080 is a wasteful number, since it uses less digits than its factorization.

2668576942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11654 (or 11621 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2668576942080 in words is "two trillion, six hundred sixty-eight billion, five hundred seventy-six million, nine hundred forty-two thousand, eighty".