2949918720 has 416 divisors, whose sum is σ = 11386145280. Its totient is φ = 638779392.

The previous prime is 2949918709. The next prime is 2949918733. The reversal of 2949918720 is 278199492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155258871 + ... + 155258889.

Almost surely, 2^2949918720 is an apocalyptic number.

2949918720 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 2949918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693072640).

2949918720 is an abundant number, since it is smaller than the sum of its proper divisors (8436226560).

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

2949918720 is an frugal number, since it uses more digits than its factorization.

2949918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 2949918720 is about 54313.1542077976. The cubic root of 2949918720 is about 1434.1789700162.

The spelling of 2949918720 in words is "two billion, nine hundred forty-nine million, nine hundred eighteen thousand, seven hundred twenty".