2991031680 has 1024 divisors, whose sum is σ = 13324953600. Its totient is φ = 552075264.

The previous prime is 2991031643. The next prime is 2991031709. The reversal of 2991031680 is 861301992.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56434534 + ... + 56434586.

It is an arithmetic number, because the mean of its divisors is an integer number (13012650).

Almost surely, 2^2991031680 is an apocalyptic number.

2991031680 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 2991031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662476800).

2991031680 is an abundant number, since it is smaller than the sum of its proper divisors (10333921920).

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

2991031680 is a wasteful number, since it uses less digits than its factorization.

2991031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2991031680 is about 54690.3252870195. The cubic root of 2991031680 is about 1440.8109629584.

The spelling of 2991031680 in words is "two billion, nine hundred ninety-one million, thirty-one thousand, six hundred eighty".