2442138401 has 8 divisors (see below), whose sum is σ = 2527859880. Its totient is φ = 2356517632.

The previous prime is 2442138371. The next prime is 2442138403. The reversal of 2442138401 is 1048312442.

It can be written as a sum of positive squares in 4 ways, for example, as 428283025 + 2013855376 = 20695^2 + 44876^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2442138401 - 2³⁰ = 1368396577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2442138403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25961 + ... + 74553.

It is an arithmetic number, because the mean of its divisors is an integer number (315982485).

Almost surely, 2^2442138401 is an apocalyptic number.

It is an amenable number.

2442138401 is a deficient number, since it is larger than the sum of its proper divisors (85721479).

2442138401 is a wasteful number, since it uses less digits than its factorization.

2442138401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50355.

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2442138401 is about 49417.9967319599. The cubic root of 2442138401 is about 1346.6562701860.

The spelling of 2442138401 in words is "two billion, four hundred forty-two million, one hundred thirty-eight thousand, four hundred one".