2048000001 has 16 divisors (see below), whose sum is σ = 2798526720. Its totient is φ = 1331502480.

The previous prime is 2047999957. The next prime is 2048000011. The reversal of 2048000001 is 1000008402.

It is not a de Polignac number, because 2048000001 - 2⁶ = 2047999937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2048000011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72966 + ... + 97056.

It is an arithmetic number, because the mean of its divisors is an integer number (174907920).

It is a Proth number, since it is equal to 15625 ⋅ 2¹⁷ + 1 and 15625 < 2¹⁷.

Almost surely, 2^2048000001 is an apocalyptic number.

It is an amenable number.

2048000001 is a deficient number, since it is larger than the sum of its proper divisors (750526719).

2048000001 is a wasteful number, since it uses less digits than its factorization.

2048000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24796.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2048000001 is about 45254.8340069876. The cubic root of 2048000001 is about 1269.9208417813.

Adding to 2048000001 its reverse (1000008402), we get a palindrome (3048008403).

The spelling of 2048000001 in words is "two billion, forty-eight million, one", and thus it is an aban number and an uban number.