2949244800 has 384 divisors, whose sum is σ = 10199347200. Its totient is φ = 748339200.

The previous prime is 2949244787. The next prime is 2949244807. The reversal of 2949244800 is 84429492.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949244807) by changing a digit.

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, 23222337 + ... + 23222463.

It is an arithmetic number, because the mean of its divisors is an integer number (26560800).

Almost surely, 2^2949244800 is an apocalyptic number.

2949244800 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 2949244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099673600).

2949244800 is an abundant number, since it is smaller than the sum of its proper divisors (7250102400).

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

2949244800 is a wasteful number, since it uses less digits than its factorization.

2949244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2949244800 is about 54306.9498314903. The cubic root of 2949244800 is about 1434.0697471760.

The spelling of 2949244800 in words is "two billion, nine hundred forty-nine million, two hundred forty-four thousand, eight hundred".