2001659040 has 252 divisors, whose sum is σ = 7144672122. Its totient is φ = 529701120.

The previous prime is 2001659027. The next prime is 2001659053. The reversal of 2001659040 is 409561002.

2001659040 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 659 + 0 + 4 + 0 = 666.

2001659040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2001659027) and next prime (2001659053).

It can be written as a sum of positive squares in only one way, i.e., 1801493136 + 200165904 = 42444^2 + 14148^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2001658995 and 2001659013.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 15279775 + ... + 15279905.

Almost surely, 2^2001659040 is an apocalyptic number.

2001659040 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 2001659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572336061).

2001659040 is an abundant number, since it is smaller than the sum of its proper divisors (5143013082).

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

2001659040 is an frugal number, since it uses more digits than its factorization.

2001659040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2001659040 is about 44739.9043360622. The cubic root of 2001659040 is about 1260.2693301806.

The spelling of 2001659040 in words is "two billion, one million, six hundred fifty-nine thousand, forty".