2042712864 has 192 divisors, whose sum is σ = 6109084800. Its totient is φ = 663883776.

The previous prime is 2042712851. The next prime is 2042712871. The reversal of 2042712864 is 4682172402.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8766892 + ... + 8767124.

It is an arithmetic number, because the mean of its divisors is an integer number (31818150).

Almost surely, 2^2042712864 is an apocalyptic number.

2042712864 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 2042712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054542400).

2042712864 is an abundant number, since it is smaller than the sum of its proper divisors (4066371936).

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

2042712864 is a wasteful number, since it uses less digits than its factorization.

2042712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2042712864 is about 45196.3810940655. The cubic root of 2042712864 is about 1268.8270866345.

The spelling of 2042712864 in words is "two billion, forty-two million, seven hundred twelve thousand, eight hundred sixty-four".