2153238417 has 16 divisors (see below), whose sum is σ = 3479981760. Its totient is φ = 1304992800.

The previous prime is 2153238397. The next prime is 2153238419. The reversal of 2153238417 is 7148323512.

2153238417 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 238 + 417 = 666.

It is not a de Polignac number, because 2153238417 - 2¹⁰ = 2153237393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2153238419) 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, 3624684 + ... + 3625277.

It is an arithmetic number, because the mean of its divisors is an integer number (217498860).

Almost surely, 2^2153238417 is an apocalyptic number.

2153238417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2153238417 is a deficient number, since it is larger than the sum of its proper divisors (1326743343).

2153238417 is a wasteful number, since it uses less digits than its factorization.

2153238417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249981 (or 7249975 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2153238417 is about 46403.0000862013. Note that the first 4 decimals coincide. The cubic root of 2153238417 is about 1291.3105718092.

The spelling of 2153238417 in words is "two billion, one hundred fifty-three million, two hundred thirty-eight thousand, four hundred seventeen".