2001145104 has 90 divisors (see below), whose sum is σ = 6514805310. Its totient is φ = 571753728.

The previous prime is 2001145103. The next prime is 2001145117. The reversal of 2001145104 is 4015411002.

2001145104 is a `hidden beast` number, since 200 + 11 + 451 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1447954704 + 553190400 = 38052^2 + 23520^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2001145103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134749 + ... + 148860.

Almost surely, 2^2001145104 is an apocalyptic number.

2001145104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001145104 is an abundant number, since it is smaller than the sum of its proper divisors (4513660206).

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

2001145104 is a wasteful number, since it uses less digits than its factorization.

2001145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283637 (or 283621 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2001145104 is about 44734.1603699008. The cubic root of 2001145104 is about 1260.1614607904.

Adding to 2001145104 its reverse (4015411002), we get a palindrome (6016556106).

The spelling of 2001145104 in words is "two billion, one million, one hundred forty-five thousand, one hundred four".