2141400164 has 12 divisors (see below), whose sum is σ = 3789557100. Its totient is φ = 1058669568.

The previous prime is 2141400161. The next prime is 2141400167. The reversal of 2141400164 is 4610041412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2141400161) and next prime (2141400167).

It can be written as a sum of positive squares in 2 ways, for example, as 1016334400 + 1125065764 = 31880^2 + 33542^2 .

It is not an unprimeable number, because it can be changed into a prime (2141400161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3007229 + ... + 3007940.

It is an arithmetic number, because the mean of its divisors is an integer number (315796425).

Almost surely, 2^2141400164 is an apocalyptic number.

It is an amenable number.

2141400164 is a deficient number, since it is larger than the sum of its proper divisors (1648156936).

2141400164 is a wasteful number, since it uses less digits than its factorization.

2141400164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015262 (or 6015260 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2141400164 is about 46275.2651424063. The cubic root of 2141400164 is about 1288.9397301135.

Adding to 2141400164 its reverse (4610041412), we get a palindrome (6751441576).

The spelling of 2141400164 in words is "two billion, one hundred forty-one million, four hundred thousand, one hundred sixty-four".