2042164560 has 80 divisors (see below), whose sum is σ = 6342111936. Its totient is φ = 543596544.

The previous prime is 2042164529. The next prime is 2042164567. The reversal of 2042164560 is 654612402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042164567) 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 15 ways as a sum of consecutive naturals, for example, 131107 + ... + 145853.

Almost surely, 2^2042164560 is an apocalyptic number.

2042164560 is a gapful number since it is divisible by the number (20) 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 2042164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171055968).

2042164560 is an abundant number, since it is smaller than the sum of its proper divisors (4299947376).

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

2042164560 is a wasteful number, since it uses less digits than its factorization.

2042164560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15340 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2042164560 is about 45190.3148915783. The cubic root of 2042164560 is about 1268.7135504910.

Adding to 2042164560 its reverse (654612402), we get a palindrome (2696776962).

The spelling of 2042164560 in words is "two billion, forty-two million, one hundred sixty-four thousand, five hundred sixty".