2667493440000 has 600 divisors, whose sum is σ = 9640143744660. Its totient is φ = 709853184000.

The previous prime is 2667493439999. The next prime is 2667493440149. The reversal of 2667493440000 is 443947662.

It is a happy number.

2667493440000 is a `hidden beast` number, since 266 + 7 + 49 + 344 + 0 + 0 + 0 + 0 = 666.

2667493440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 414756608256 + 2252736831744 = 644016^2 + 1500912^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2675519502 + ... + 2675520498.

Almost surely, 2^{2667493440000} is an apocalyptic number.

2667493440000 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 2667493440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820071872330).

2667493440000 is an abundant number, since it is smaller than the sum of its proper divisors (6972650304660).

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

2667493440000 is an frugal number, since it uses more digits than its factorization.

2667493440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2667493440000 in words is "two trillion, six hundred sixty-seven billion, four hundred ninety-three million, four hundred forty thousand".