2001162240 has 832 divisors, whose sum is σ = 9058590720. Its totient is φ = 406978560.

The previous prime is 2001162239. The next prime is 2001162263. The reversal of 2001162240 is 422611002.

2001162240 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 1 + 622 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 42577897 + ... + 42577943.

Almost surely, 2^2001162240 is an apocalyptic number.

2001162240 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 2001162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529295360).

2001162240 is an abundant number, since it is smaller than the sum of its proper divisors (7057428480).

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

2001162240 is a wasteful number, since it uses less digits than its factorization.

2001162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

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

The square root of 2001162240 is about 44734.3519009720. The cubic root of 2001162240 is about 1260.1650577419.

Adding to 2001162240 its reverse (422611002), we get a palindrome (2423773242).

The spelling of 2001162240 in words is "two billion, one million, one hundred sixty-two thousand, two hundred forty".