2120034642 has 64 divisors (see below), whose sum is σ = 4785879168. Its totient is φ = 620480000.

The previous prime is 2120034641. The next prime is 2120034659. The reversal of 2120034642 is 2464300212.

It is not an unprimeable number, because it can be changed into a prime (2120034641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269428 + ... + 277184.

It is an arithmetic number, because the mean of its divisors is an integer number (74779362).

Almost surely, 2^2120034642 is an apocalyptic number.

2120034642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120034642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392939584).

2120034642 is an abundant number, since it is smaller than the sum of its proper divisors (2665844526).

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

2120034642 is a wasteful number, since it uses less digits than its factorization.

2120034642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7915.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2120034642 is about 46043.8339194294. The cubic root of 2120034642 is about 1284.6386548772.

Adding to 2120034642 its reverse (2464300212), we get a palindrome (4584334854).

The spelling of 2120034642 in words is "two billion, one hundred twenty million, thirty-four thousand, six hundred forty-two".