2001162240000 has 2560 divisors, whose sum is σ = 9434020147200. Its totient is φ = 406978560000.

The previous prime is 2001162239983. The next prime is 2001162240017. The reversal of 2001162240000 is 422611002.

2001162240000 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 1 + 622 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2001162239983) and next prime (2001162240017).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42577919977 + ... + 42577920023.

It is an arithmetic number, because the mean of its divisors is an integer number (3685164120).

Almost surely, 2^{2001162240000} is an apocalyptic number.

2001162240000 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 2001162240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717010073600).

2001162240000 is an abundant number, since it is smaller than the sum of its proper divisors (7432857907200).

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

2001162240000 is an frugal number, since it uses more digits than its factorization.

2001162240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2001162240000 its reverse (422611002), we get a palindrome (2001584851002).

The spelling of 2001162240000 in words is "two trillion, one billion, one hundred sixty-two million, two hundred forty thousand".