2940740812800 has 720 divisors, whose sum is σ = 12347947736320. Its totient is φ = 672151633920.

The previous prime is 2940740812741. The next prime is 2940740812811. The reversal of 2940740812800 is 82180470492.

2940740812800 is a `hidden beast` number, since 294 + 0 + 7 + 4 + 0 + 81 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 77395407 + ... + 77433393.

Almost surely, 2^{2940740812800} is an apocalyptic number.

2940740812800 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 2940740812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173973868160).

2940740812800 is an abundant number, since it is smaller than the sum of its proper divisors (9407206923520).

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

2940740812800 is an equidigital number, since it uses as much as digits as its factorization.

2940740812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38041 (or 38004 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2940740812800 in words is "two trillion, nine hundred forty billion, seven hundred forty million, eight hundred twelve thousand, eight hundred".