2946936449100 has 576 divisors, whose sum is σ = 10517086863360. Its totient is φ = 622276300800.

The previous prime is 2946936449081. The next prime is 2946936449137. The reversal of 2946936449100 is 19446396492.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 887897241 + ... + 887900559.

It is an arithmetic number, because the mean of its divisors is an integer number (18258831360).

Almost surely, 2^{2946936449100} is an apocalyptic number.

2946936449100 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 2946936449100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258543431680).

2946936449100 is an abundant number, since it is smaller than the sum of its proper divisors (7570150414260).

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

2946936449100 is a wasteful number, since it uses less digits than its factorization.

2946936449100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 2946936449100 in words is "two trillion, nine hundred forty-six billion, nine hundred thirty-six million, four hundred forty-nine thousand, one hundred".