2660005146120 has 256 divisors, whose sum is σ = 9195660103680. Its totient is φ = 602971776000.

The previous prime is 2660005146053. The next prime is 2660005146137. The reversal of 2660005146120 is 216415000662.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77735815 + ... + 77770025.

It is an arithmetic number, because the mean of its divisors is an integer number (35920547280).

Almost surely, 2^{2660005146120} is an apocalyptic number.

2660005146120 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 2660005146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597830051840).

2660005146120 is an abundant number, since it is smaller than the sum of its proper divisors (6535654957560).

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

2660005146120 is a wasteful number, since it uses less digits than its factorization.

2660005146120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34996 (or 34992 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 2660005146120 in words is "two trillion, six hundred sixty billion, five million, one hundred forty-six thousand, one hundred twenty".