2120542240 has 96 divisors (see below), whose sum is σ = 5136203520. Its totient is φ = 826957824.

The previous prime is 2120542217. The next prime is 2120542271. The reversal of 2120542240 is 422450212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3150544 + ... + 3151216.

It is an arithmetic number, because the mean of its divisors is an integer number (53502120).

Almost surely, 2^2120542240 is an apocalyptic number.

2120542240 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 2120542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568101760).

2120542240 is an abundant number, since it is smaller than the sum of its proper divisors (3015661280).

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

2120542240 is a wasteful number, since it uses less digits than its factorization.

2120542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2120542240 is about 46049.3457065353. The cubic root of 2120542240 is about 1284.7411733241.

Adding to 2120542240 its reverse (422450212), we get a palindrome (2542992452).

The spelling of 2120542240 in words is "two billion, one hundred twenty million, five hundred forty-two thousand, two hundred forty".