2152008001 has 24 divisors (see below), whose sum is σ = 2668365504. Its totient is φ = 1710793440.

The previous prime is 2152007929. The next prime is 2152008013. The reversal of 2152008001 is 1008002512.

It is not a de Polignac number, because 2152008001 - 2⁷ = 2152007873 is a prime.

It is a super-2 number, since 2×2152008001² = 9262276872736032002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2152008001.

It is not an unprimeable number, because it can be changed into a prime (2152008031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30780 + ... + 72466.

It is an arithmetic number, because the mean of its divisors is an integer number (111181896).

Almost surely, 2^2152008001 is an apocalyptic number.

It is an amenable number.

2152008001 is a deficient number, since it is larger than the sum of its proper divisors (516357503).

2152008001 is a wasteful number, since it uses less digits than its factorization.

2152008001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41749 (or 41730 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2152008001 is about 46389.7402557936. The cubic root of 2152008001 is about 1291.0645622160.

The spelling of 2152008001 in words is "two billion, one hundred fifty-two million, eight thousand, one".