2120434040220 has 192 divisors, whose sum is σ = 6438079549440. Its totient is φ = 520247347200.

The previous prime is 2120434040203. The next prime is 2120434040233. The reversal of 2120434040220 is 220404340212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2722005 + ... + 3413235.

It is an arithmetic number, because the mean of its divisors is an integer number (33531664320).

Almost surely, 2^{2120434040220} is an apocalyptic number.

2120434040220 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 2120434040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219039774720).

2120434040220 is an abundant number, since it is smaller than the sum of its proper divisors (4317645509220).

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

2120434040220 is a wasteful number, since it uses less digits than its factorization.

2120434040220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691356 (or 691354 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2120434040220 its reverse (220404340212), we get a palindrome (2340838380432).

The spelling of 2120434040220 in words is "two trillion, one hundred twenty billion, four hundred thirty-four million, forty thousand, two hundred twenty".