2949144576 has 336 divisors, whose sum is σ = 9562429440. Its totient is φ = 805109760.

The previous prime is 2949144557. The next prime is 2949144587. The reversal of 2949144576 is 6754419492.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37330905 + ... + 37330983.

Almost surely, 2^2949144576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781214720).

2949144576 is an abundant number, since it is smaller than the sum of its proper divisors (6613284864).

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

2949144576 is an equidigital number, since it uses as much as digits as its factorization.

2949144576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 2949144576 is about 54306.0270688254. The cubic root of 2949144576 is about 1434.0535023581.

The spelling of 2949144576 in words is "two billion, nine hundred forty-nine million, one hundred forty-four thousand, five hundred seventy-six".