2242142000 has 240 divisors, whose sum is σ = 6390715968. Its totient is φ = 758553600.

The previous prime is 2242141973. The next prime is 2242142029. The reversal of 2242142000 is 2412422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242142000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13425917 + ... + 13426083.

Almost surely, 2^2242142000 is an apocalyptic number.

2242142000 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 2242142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195357984).

2242142000 is an abundant number, since it is smaller than the sum of its proper divisors (4148573968).

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

2242142000 is a wasteful number, since it uses less digits than its factorization.

2242142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2242142000 is about 47351.2618628057. The cubic root of 2242142000 is about 1308.8434521624.

Adding to 2242142000 its reverse (2412422), we get a palindrome (2244554422).

The spelling of 2242142000 in words is "two billion, two hundred forty-two million, one hundred forty-two thousand".