2667205105920 has 432 divisors, whose sum is σ = 9474427714752. Its totient is φ = 692487045120.

The previous prime is 2667205105907. The next prime is 2667205105921. The reversal of 2667205105920 is 295015027662.

2667205105920 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 2 + 0 + 51 + 0 + 592 + 0 = 666.

It is a super-2 number, since 2×2667205105920² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2667205105921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79966687 + ... + 80000033.

It is an arithmetic number, because the mean of its divisors is an integer number (21931545636).

Almost surely, 2^{2667205105920} is an apocalyptic number.

2667205105920 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 2667205105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737213857376).

2667205105920 is an abundant number, since it is smaller than the sum of its proper divisors (6807222608832).

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

2667205105920 is a wasteful number, since it uses less digits than its factorization.

2667205105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33558 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 2667205105 and 920, that added together give a square (2667206025 = 51645²).

The spelling of 2667205105920 in words is "two trillion, six hundred sixty-seven billion, two hundred five million, one hundred five thousand, nine hundred twenty".