2091241152000 has 4800 divisors, whose sum is σ = 10855701762048. Its totient is φ = 388177920000.

The previous prime is 2091241151999. The next prime is 2091241152001. The reversal of 2091241152000 is 2511421902.

2091241152000 is a `hidden beast` number, since 2 + 0 + 9 + 124 + 11 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2091241151999) and next prime (2091241152001).

It is a tau number, because it is divible by the number of its divisors (4800).

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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091241152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 67459391985 + ... + 67459392015.

Almost surely, 2^{2091241152000} is an apocalyptic number.

2091241152000 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 2091241152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427850881024).

2091241152000 is an abundant number, since it is smaller than the sum of its proper divisors (8764460610048).

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

2091241152000 is a wasteful number, since it uses less digits than its factorization.

2091241152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 2091241152000 its reverse (2511421902), we get a palindrome (2093752573902).

The spelling of 2091241152000 in words is "two trillion, ninety-one billion, two hundred forty-one million, one hundred fifty-two thousand".