2991144000 has 224 divisors, whose sum is σ = 10637617536. Its totient is φ = 736204800.

The previous prime is 2991143993. The next prime is 2991144007. The reversal of 2991144000 is 4411992.

It is an interprime number because it is at equal distance from previous prime (2991143993) and next prime (2991144007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2991144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307207 + ... + 316793.

It is an arithmetic number, because the mean of its divisors is an integer number (47489364).

Almost surely, 2^2991144000 is an apocalyptic number.

2991144000 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 2991144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318808768).

2991144000 is an abundant number, since it is smaller than the sum of its proper divisors (7646473536).

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

2991144000 is a wasteful number, since it uses less digits than its factorization.

2991144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9630 (or 9610 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2991144000 is about 54691.3521500429. The cubic root of 2991144000 is about 1440.8289979687.

Adding to 2991144000 its reverse (4411992), we get a palindrome (2995555992).

The spelling of 2991144000 in words is "two billion, nine hundred ninety-one million, one hundred forty-four thousand".