2949588096 has 384 divisors, whose sum is σ = 9987056640. Its totient is φ = 754790400.

The previous prime is 2949588079. The next prime is 2949588151. The reversal of 2949588096 is 6908859492.

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

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, 19533621 + ... + 19533771.

It is an arithmetic number, because the mean of its divisors is an integer number (26007960).

Almost surely, 2^2949588096 is an apocalyptic number.

2949588096 is a gapful number since it is divisible by the number (26) 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 2949588096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993528320).

2949588096 is an abundant number, since it is smaller than the sum of its proper divisors (7037468544).

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

2949588096 is a wasteful number, since it uses less digits than its factorization.

2949588096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The square root of 2949588096 is about 54310.1104399540. The cubic root of 2949588096 is about 1434.1253875564.

The spelling of 2949588096 in words is "two billion, nine hundred forty-nine million, five hundred eighty-eight thousand, ninety-six".