2400220442201 has 8 divisors (see below), whose sum is σ = 2413927853064. Its totient is φ = 2386517938560.

The previous prime is 2400220442189. The next prime is 2400220442203. The reversal of 2400220442201 is 1022440220042.

2400220442201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 416773536400 + 1983446905801 = 645580^2 + 1408349^2 .

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 2400220442201 - 2²⁶ = 2400153333337 is a prime.

It is a super-2 number, since 2×2400220442201² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400220442203) 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, 243530 + ... + 2204483.

It is an arithmetic number, because the mean of its divisors is an integer number (301740981633).

Almost surely, 2^{2400220442201} is an apocalyptic number.

It is an amenable number.

2400220442201 is a deficient number, since it is larger than the sum of its proper divisors (13707410863).

2400220442201 is a wasteful number, since it uses less digits than its factorization.

2400220442201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453611.

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 2400220442201 its reverse (1022440220042), we get a palindrome (3422660662243).

The spelling of 2400220442201 in words is "two trillion, four hundred billion, two hundred twenty million, four hundred forty-two thousand, two hundred one".