2192226840 has 288 divisors, whose sum is σ = 7974018000. Its totient is φ = 520777728.

The previous prime is 2192226797. The next prime is 2192226901. The reversal of 2192226840 is 486222912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2192226795 and 2192226804.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1976206 + ... + 1977314.

Almost surely, 2^2192226840 is an apocalyptic number.

2192226840 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 2192226840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987009000).

2192226840 is an abundant number, since it is smaller than the sum of its proper divisors (5781791160).

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

2192226840 is a wasteful number, since it uses less digits than its factorization.

2192226840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2192226840 is about 46821.2221113460. Note that the first 3 decimals coincide. The cubic root of 2192226840 is about 1299.0578657061.

The spelling of 2192226840 in words is "two billion, one hundred ninety-two million, two hundred twenty-six thousand, eight hundred forty".