2991631104 has 648 divisors, whose sum is σ = 11466717360. Its totient is φ = 766402560.

The previous prime is 2991631081. The next prime is 2991631121. The reversal of 2991631104 is 4011361992.

It is a happy number.

2991631104 is a `hidden beast` number, since 2 + 9 + 9 + 1 + 631 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40981212 + ... + 40981284.

Almost surely, 2^2991631104 is an apocalyptic number.

2991631104 is a gapful number since it is divisible by the number (24) 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 2991631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733358680).

2991631104 is an abundant number, since it is smaller than the sum of its proper divisors (8475086256).

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

2991631104 is a wasteful number, since it uses less digits than its factorization.

2991631104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2991631104 is about 54695.8051773626. The cubic root of 2991631104 is about 1440.9072061140.

The spelling of 2991631104 in words is "two billion, nine hundred ninety-one million, six hundred thirty-one thousand, one hundred four".