2141103264 has 48 divisors (see below), whose sum is σ = 5699574720. Its totient is φ = 703646720.

The previous prime is 2141103259. The next prime is 2141103269. The reversal of 2141103264 is 4623011412.

It is an interprime number because it is at equal distance from previous prime (2141103259) and next prime (2141103269).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2141103264² = 9168646374222907392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2141103269) 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 7 ways as a sum of consecutive naturals, for example, 150249 + ... + 163880.

It is an arithmetic number, because the mean of its divisors is an integer number (118741140).

Almost surely, 2^2141103264 is an apocalyptic number.

2141103264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141103264 is an abundant number, since it is smaller than the sum of its proper divisors (3558471456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141103264 is a wasteful number, since it uses less digits than its factorization.

2141103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314213 (or 314205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2141103264 is about 46272.0570539067. The cubic root of 2141103264 is about 1288.8801578921.

Adding to 2141103264 its reverse (4623011412), we get a palindrome (6764114676).

The spelling of 2141103264 in words is "two billion, one hundred forty-one million, one hundred three thousand, two hundred sixty-four".