2668466067120 has 1120 divisors, whose sum is σ = 11577251865600. Its totient is φ = 557860939776.

The previous prime is 2668466067103. The next prime is 2668466067131. The reversal of 2668466067120 is 217606648662.

2668466067120 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 4 + 6 + 606 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×2668466067120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 224934309 + ... + 224946171.

Almost surely, 2^{2668466067120} is an apocalyptic number.

2668466067120 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 2668466067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788625932800).

2668466067120 is an abundant number, since it is smaller than the sum of its proper divisors (8908785798480).

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

2668466067120 is a wasteful number, since it uses less digits than its factorization.

2668466067120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2668466067120 in words is "two trillion, six hundred sixty-eight billion, four hundred sixty-six million, sixty-seven thousand, one hundred twenty".