2120377320 has 192 divisors, whose sum is σ = 7136897040. Its totient is φ = 545587200.

The previous prime is 2120377289. The next prime is 2120377321. The reversal of 2120377320 is 237730212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 278422596 + 1841954724 = 16686^2 + 42918^2 .

It is not an unprimeable number, because it can be changed into a prime (2120377321) 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 47 ways as a sum of consecutive naturals, for example, 1430980 + ... + 1432460.

Almost surely, 2^2120377320 is an apocalyptic number.

2120377320 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 2120377320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568448520).

2120377320 is an abundant number, since it is smaller than the sum of its proper divisors (5016519720).

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

2120377320 is a wasteful number, since it uses less digits than its factorization.

2120377320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2120377320 is about 46047.5549839511. The cubic root of 2120377320 is about 1284.7078665903.

The spelling of 2120377320 in words is "two billion, one hundred twenty million, three hundred seventy-seven thousand, three hundred twenty".