2091264000 has 384 divisors, whose sum is σ = 7972473600. Its totient is φ = 476774400.

The previous prime is 2091263969. The next prime is 2091264041. The reversal of 2091264000 is 4621902.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 5375806 + ... + 5376194.

It is an arithmetic number, because the mean of its divisors is an integer number (20761650).

Almost surely, 2^2091264000 is an apocalyptic number.

2091264000 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 2091264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986236800).

2091264000 is an abundant number, since it is smaller than the sum of its proper divisors (5881209600).

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

2091264000 is an equidigital number, since it uses as much as digits as its factorization.

2091264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2091264000 is about 45730.3400380972. The cubic root of 2091264000 is about 1278.8009604842.

Adding to 2091264000 its reverse (4621902), we get a palindrome (2095885902).

The spelling of 2091264000 in words is "two billion, ninety-one million, two hundred sixty-four thousand".