2122242000 has 160 divisors (see below), whose sum is σ = 7009801344. Its totient is φ = 552064000.

The previous prime is 2122241987. The next prime is 2122242013. The reversal of 2122242000 is 2422212.

It is an interprime number because it is at equal distance from previous prime (2122241987) and next prime (2122242013).

It is a super-2 number, since 2×2122242000² = 9007822213128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241687 + ... + 250313.

Almost surely, 2^2122242000 is an apocalyptic number.

2122242000 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 2122242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504900672).

2122242000 is an abundant number, since it is smaller than the sum of its proper divisors (4887559344).

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

2122242000 is a wasteful number, since it uses less digits than its factorization.

2122242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2122242000 is about 46067.7978635836. The cubic root of 2122242000 is about 1285.0843510264.

Adding to 2122242000 its reverse (2422212), we get a palindrome (2124664212).

The spelling of 2122242000 in words is "two billion, one hundred twenty-two million, two hundred forty-two thousand".