2142118104 has 192 divisors, whose sum is σ = 6534005760. Its totient is φ = 582785280.

The previous prime is 2142118093. The next prime is 2142118109. The reversal of 2142118104 is 4018112412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142118109) 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 47 ways as a sum of consecutive naturals, for example, 2442114 + ... + 2442990.

It is an arithmetic number, because the mean of its divisors is an integer number (34031280).

Almost surely, 2^2142118104 is an apocalyptic number.

2142118104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142118104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267002880).

2142118104 is an abundant number, since it is smaller than the sum of its proper divisors (4391887656).

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

2142118104 is a wasteful number, since it uses less digits than its factorization.

2142118104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 2142118104 is about 46283.0217682467. The cubic root of 2142118104 is about 1289.0837601751.

The spelling of 2142118104 in words is "two billion, one hundred forty-two million, one hundred eighteen thousand, one hundred four".