2940942950400 has 1344 divisors, whose sum is σ = 12493968334848. Its totient is φ = 593268572160.

The previous prime is 2940942950389. The next prime is 2940942950447. The reversal of 2940942950400 is 40592490492.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2940942950400.

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 95 ways as a sum of consecutive naturals, for example, 1285938057 + ... + 1285940343.

It is an arithmetic number, because the mean of its divisors is an integer number (9296107392).

Almost surely, 2^{2940942950400} is an apocalyptic number.

2940942950400 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 2940942950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246984167424).

2940942950400 is an abundant number, since it is smaller than the sum of its proper divisors (9553025384448).

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

2940942950400 is a wasteful number, since it uses less digits than its factorization.

2940942950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 2940942950400 in words is "two trillion, nine hundred forty billion, nine hundred forty-two million, nine hundred fifty thousand, four hundred".