2120413440 has 144 divisors (see below), whose sum is σ = 6808874688. Its totient is φ = 562372608.

The previous prime is 2120413429. The next prime is 2120413469. The reversal of 2120413440 is 443140212.

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, 755079 + ... + 757881.

It is an arithmetic number, because the mean of its divisors is an integer number (47283852).

Almost surely, 2^2120413440 is an apocalyptic number.

2120413440 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 2120413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404437344).

2120413440 is an abundant number, since it is smaller than the sum of its proper divisors (4688461248).

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

2120413440 is a wasteful number, since it uses less digits than its factorization.

2120413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2120413440 is about 46047.9471855152. The cubic root of 2120413440 is about 1284.7151614216.

Adding to 2120413440 its reverse (443140212), we get a palindrome (2563553652).

The spelling of 2120413440 in words is "two billion, one hundred twenty million, four hundred thirteen thousand, four hundred forty".