2491164000 has 288 divisors, whose sum is σ = 9523017504. Its totient is φ = 613094400.

The previous prime is 2491163981. The next prime is 2491164001. The reversal of 2491164000 is 4611942.

2491164000 is a `hidden beast` number, since 2 + 4 + 9 + 11 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491164001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465339 + ... + 470661.

It is an arithmetic number, because the mean of its divisors is an integer number (33066033).

Almost surely, 2^2491164000 is an apocalyptic number.

2491164000 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 2491164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761508752).

2491164000 is an abundant number, since it is smaller than the sum of its proper divisors (7031853504).

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

2491164000 is a wasteful number, since it uses less digits than its factorization.

2491164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2491164000 is about 49911.5617868245. The cubic root of 2491164000 is about 1355.6079478491.

Adding to 2491164000 its reverse (4611942), we get a palindrome (2495775942).

It can be divided in two parts, 249116 and 4000, that added together give a triangular number (253116 = T₇₁₁).

The spelling of 2491164000 in words is "two billion, four hundred ninety-one million, one hundred sixty-four thousand".