2991743952 has 160 divisors (see below), whose sum is σ = 8544691200. Its totient is φ = 897785856.

The previous prime is 2991743921. The next prime is 2991743957. The reversal of 2991743952 is 2593471992.

It is a super-3 number, since 3×2991743952³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2991743895 and 2991743904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2991743957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047999 + ... + 4048737.

It is an arithmetic number, because the mean of its divisors is an integer number (53404320).

Almost surely, 2^2991743952 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 2991743952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272345600).

2991743952 is an abundant number, since it is smaller than the sum of its proper divisors (5552947248).

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

2991743952 is a wasteful number, since it uses less digits than its factorization.

2991743952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 979 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 2991743952 is about 54696.8367641128. The cubic root of 2991743952 is about 1440.9253234828.

The spelling of 2991743952 in words is "two billion, nine hundred ninety-one million, seven hundred forty-three thousand, nine hundred fifty-two".