2192031072 has 432 divisors, whose sum is σ = 8219195712. Its totient is φ = 568270080.

The previous prime is 2192031059. The next prime is 2192031109. The reversal of 2192031072 is 2701302912.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2192031072² = 9610000441226938368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4191003 + ... + 4191525.

It is an arithmetic number, because the mean of its divisors is an integer number (19025916).

Almost surely, 2^2192031072 is an apocalyptic number.

2192031072 is a gapful number since it is divisible by the number (22) 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 2192031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109597856).

2192031072 is an abundant number, since it is smaller than the sum of its proper divisors (6027164640).

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

2192031072 is a wasteful number, since it uses less digits than its factorization.

2192031072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2192031072 is about 46819.1314742168. The cubic root of 2192031072 is about 1299.0191955092.

Adding to 2192031072 its reverse (2701302912), we get a palindrome (4893333984).

The spelling of 2192031072 in words is "two billion, one hundred ninety-two million, thirty-one thousand, seventy-two".