2141689095 has 96 divisors (see below), whose sum is σ = 4716601344. Its totient is φ = 874540800.

The previous prime is 2141689073. The next prime is 2141689097. The reversal of 2141689095 is 5909861412.

It is not a de Polignac number, because 2141689095 - 2¹⁴ = 2141672711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 2574912249 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 2141689095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141689097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118510 + ... + 135380.

It is an arithmetic number, because the mean of its divisors is an integer number (49131264).

Almost surely, 2^2141689095 is an apocalyptic number.

2141689095 is an abundant number, since it is smaller than the sum of its proper divisors (2574912249).

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

2141689095 is a wasteful number, since it uses less digits than its factorization.

2141689095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 2141689095 is about 46278.3869100901. The cubic root of 2141689095 is about 1288.9976980890.

The spelling of 2141689095 in words is "two billion, one hundred forty-one million, six hundred eighty-nine thousand, ninety-five".