2221131000 has 128 divisors (see below), whose sum is σ = 7560034560. Its totient is φ = 538448000.

The previous prime is 2221130969. The next prime is 2221131001. The reversal of 2221131000 is 1311222.

It is a super-3 number, since 3×2221131000³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221131001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654 + ... + 66653.

It is an arithmetic number, because the mean of its divisors is an integer number (59062770).

Almost surely, 2^2221131000 is an apocalyptic number.

2221131000 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 2221131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780017280).

2221131000 is an abundant number, since it is smaller than the sum of its proper divisors (5338903560).

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

2221131000 is a wasteful number, since it uses less digits than its factorization.

2221131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67342 (or 67328 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2221131000 is about 47128.8764983847. The cubic root of 2221131000 is about 1304.7422458890.

Adding to 2221131000 its reverse (1311222), we get a palindrome (2222442222).

The spelling of 2221131000 in words is "two billion, two hundred twenty-one million, one hundred thirty-one thousand".