2940946444800 has 3600 divisors, whose sum is σ = 14049116002152. Its totient is φ = 601974374400.

The previous prime is 2940946444771. The next prime is 2940946444921. The reversal of 2940946444800 is 84446490492.

2940946444800 is a `hidden beast` number, since 29 + 40 + 9 + 464 + 44 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 130951344384 + 2809995100416 = 361872^2 + 1676304^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 40286937564 + ... + 40286937636.

Almost surely, 2^{2940946444800} is an apocalyptic number.

2940946444800 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 2940946444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024558001076).

2940946444800 is an abundant number, since it is smaller than the sum of its proper divisors (11108169557352).

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

2940946444800 is a wasteful number, since it uses less digits than its factorization.

2940946444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2940946444800 in words is "two trillion, nine hundred forty billion, nine hundred forty-six million, four hundred forty-four thousand, eight hundred".