2242442000 has 40 divisors (see below), whose sum is σ = 5422229592. Its totient is φ = 896976000.

The previous prime is 2242441979. The next prime is 2242442029. The reversal of 2242442000 is 2442422.

It can be written as a sum of positive squares in 4 ways, for example, as 28174864 + 2214267136 = 5308^2 + 47056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2242442000² = 10057092246728000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 558611 + ... + 562610.

Almost surely, 2^2242442000 is an apocalyptic number.

2242442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242442000 is an abundant number, since it is smaller than the sum of its proper divisors (3179787592).

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

2242442000 is a wasteful number, since it uses less digits than its factorization.

2242442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121244 (or 1121228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2242442000 is about 47354.4295710549. The cubic root of 2242442000 is about 1308.9018242495.

Adding to 2242442000 its reverse (2442422), we get a palindrome (2244884422).

The spelling of 2242442000 in words is "two billion, two hundred forty-two million, four hundred forty-two thousand".