2949343891200 has 1296 divisors, whose sum is σ = 12276901728000. Its totient is φ = 661632122880.

The previous prime is 2949343891187. The next prime is 2949343891201. The reversal of 2949343891200 is 21983439492.

2949343891200 is a `hidden beast` number, since 2 + 9 + 4 + 9 + 343 + 8 + 91 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949343891201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5910508551 + ... + 5910509049.

It is an arithmetic number, because the mean of its divisors is an integer number (9472918000).

Almost surely, 2^{2949343891200} is an apocalyptic number.

2949343891200 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 2949343891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138450864000).

2949343891200 is an abundant number, since it is smaller than the sum of its proper divisors (9327557836800).

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

2949343891200 is a wasteful number, since it uses less digits than its factorization.

2949343891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 2949343891200 in words is "two trillion, nine hundred forty-nine billion, three hundred forty-three million, eight hundred ninety-one thousand, two hundred".