2944953792 has 336 divisors, whose sum is σ = 10270540800. Its totient is φ = 795156480.

The previous prime is 2944953769. The next prime is 2944953821. The reversal of 2944953792 is 2973594492.

It is a super-3 number, since 3×2944953792³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2045809 + ... + 2047247.

Almost surely, 2^2944953792 is an apocalyptic number.

2944953792 is a gapful number since it is divisible by the number (22) 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 2944953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135270400).

2944953792 is an abundant number, since it is smaller than the sum of its proper divisors (7325587008).

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

2944953792 is a wasteful number, since it uses less digits than its factorization.

2944953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1491 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 2944953792 is about 54267.4284631214. The cubic root of 2944953792 is about 1433.3739089769.

The spelling of 2944953792 in words is "two billion, nine hundred forty-four million, nine hundred fifty-three thousand, seven hundred ninety-two".