2142105504 has 192 divisors, whose sum is σ = 7050903552. Its totient is φ = 553190400.

The previous prime is 2142105481. The next prime is 2142105517. The reversal of 2142105504 is 4055012412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455489 + ... + 1456959.

It is an arithmetic number, because the mean of its divisors is an integer number (36723456).

Almost surely, 2^2142105504 is an apocalyptic number.

2142105504 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 2142105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525451776).

2142105504 is an abundant number, since it is smaller than the sum of its proper divisors (4908798048).

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

2142105504 is a wasteful number, since it uses less digits than its factorization.

2142105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2142105504 is about 46282.8856490172. The cubic root of 2142105504 is about 1289.0812326942.

Adding to 2142105504 its reverse (4055012412), we get a palindrome (6197117916).

The spelling of 2142105504 in words is "two billion, one hundred forty-two million, one hundred five thousand, five hundred four".