2032022190240 has 768 divisors, whose sum is σ = 8518564454400. Its totient is φ = 442326196224.

The previous prime is 2032022190227. The next prime is 2032022190281. The reversal of 2032022190240 is 420912202302.

2032022190240 is a `hidden beast` number, since 2 + 0 + 3 + 202 + 219 + 0 + 240 = 666.

It is a super-2 number, since 2×2032022190240² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162049891 + ... + 162062429.

It is an arithmetic number, because the mean of its divisors is an integer number (11091880800).

Almost surely, 2^{2032022190240} is an apocalyptic number.

2032022190240 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 2032022190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259282227200).

2032022190240 is an abundant number, since it is smaller than the sum of its proper divisors (6486542264160).

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

2032022190240 is a wasteful number, since it uses less digits than its factorization.

2032022190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12826 (or 12812 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2032022190240 its reverse (420912202302), we get a palindrome (2452934392542).

The spelling of 2032022190240 in words is "two trillion, thirty-two billion, twenty-two million, one hundred ninety thousand, two hundred forty".