2120410830 has 64 divisors (see below), whose sum is σ = 5388042240. Its totient is φ = 532561536.

The previous prime is 2120410801. The next prime is 2120410861. The reversal of 2120410830 is 380140212.

It is a super-2 number, since 2×2120410830² = 8992284175962577800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120410797 and 2120410806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87859 + ... + 109361.

It is an arithmetic number, because the mean of its divisors is an integer number (84188160).

Almost surely, 2^2120410830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120410830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694021120).

2120410830 is an abundant number, since it is smaller than the sum of its proper divisors (3267631410).

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

2120410830 is a wasteful number, since it uses less digits than its factorization.

2120410830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21705.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2120410830 is about 46047.9188454810. The cubic root of 2120410830 is about 1284.7146343062.

The spelling of 2120410830 in words is "two billion, one hundred twenty million, four hundred ten thousand, eight hundred thirty".