2042768 has 80 divisors (see below), whose sum is σ = 5166336. Its totient is φ = 760320.

The previous prime is 2042767. The next prime is 2042783. The reversal of 2042768 is 8672402.

It is a super-2 number, since 2×2042768² = 8345802203648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2042768.

It is not an unprimeable number, because it can be changed into a prime (2042767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33458 + ... + 33518.

2^2042768 is an apocalyptic number.

2042768 is a gapful number since it is divisible by the number (28) 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 2042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583168).

2042768 is an abundant number, since it is smaller than the sum of its proper divisors (3123568).

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

2042768 is a wasteful number, since it uses less digits than its factorization.

2042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2042768 is about 1429.2543510516. The cubic root of 2042768 is about 126.8838502405.

The spelling of 2042768 in words is "two million, forty-two thousand, seven hundred sixty-eight".