2668146949200 has 240 divisors, whose sum is σ = 9003218757120. Its totient is φ = 673577602560.

The previous prime is 2668146949157. The next prime is 2668146949211. The reversal of 2668146949200 is 29496418662.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32494597 + ... + 32576603.

It is an arithmetic number, because the mean of its divisors is an integer number (37513411488).

Almost surely, 2^{2668146949200} is an apocalyptic number.

2668146949200 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 2668146949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501609378560).

2668146949200 is an abundant number, since it is smaller than the sum of its proper divisors (6335071807920).

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

2668146949200 is a wasteful number, since it uses less digits than its factorization.

2668146949200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83474 (or 83463 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 2668146949200 in words is "two trillion, six hundred sixty-eight billion, one hundred forty-six million, nine hundred forty-nine thousand, two hundred".