2949944369040 has 240 divisors, whose sum is σ = 10118731109760. Its totient is φ = 769990717440.

The previous prime is 2949944369033. The next prime is 2949944369081. The reversal of 2949944369040 is 409634499492.

2949944369040 is a `hidden beast` number, since 2 + 9 + 4 + 99 + 443 + 69 + 0 + 40 = 666.

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

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, 6898104 + ... + 7313256.

It is an arithmetic number, because the mean of its divisors is an integer number (42161379624).

Almost surely, 2^{2949944369040} is an apocalyptic number.

2949944369040 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 2949944369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059365554880).

2949944369040 is an abundant number, since it is smaller than the sum of its proper divisors (7168786740720).

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

2949944369040 is a wasteful number, since it uses less digits than its factorization.

2949944369040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415382 (or 415373 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 2949944369040 in words is "two trillion, nine hundred forty-nine billion, nine hundred forty-four million, three hundred sixty-nine thousand, forty".