2949140960 has 288 divisors, whose sum is σ = 8021099520. Its totient is φ = 1021779968.

The previous prime is 2949140941. The next prime is 2949140963. The reversal of 2949140960 is 690419492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949140963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49985411 + ... + 49985469.

It is an arithmetic number, because the mean of its divisors is an integer number (27851040).

Almost surely, 2^2949140960 is an apocalyptic number.

2949140960 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 2949140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010549760).

2949140960 is an abundant number, since it is smaller than the sum of its proper divisors (5071958560).

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

2949140960 is a wasteful number, since it uses less digits than its factorization.

2949140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 2949140960 is about 54305.9937760097. The cubic root of 2949140960 is about 1434.0529162515.

The spelling of 2949140960 in words is "two billion, nine hundred forty-nine million, one hundred forty thousand, nine hundred sixty".