2442000 has 160 divisors (see below), whose sum is σ = 8820864. Its totient is φ = 576000.

The previous prime is 2441987. The next prime is 2442017. The reversal of 2442000 is 2442.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65982 + ... + 66018.

2^2442000 is an apocalyptic number.

2442000 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 2442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432).

2442000 is an abundant number, since it is smaller than the sum of its proper divisors (6378864).

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

2442000 is a wasteful number, since it uses less digits than its factorization.

2442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2442000 is about 1562.6899884494. The cubic root of 2442000 is about 134.6630830446.

Adding to 2442000 its reverse (2442), we get a palindrome (2444442).

2442000 divided by its reverse (2442) gives a cube (1000 = 10³).

It can be divided in two parts, 24 and 42000, that added together give a palindrome (42024).

The spelling of 2442000 in words is "two million, four hundred forty-two thousand".