2120949936 has 240 divisors, whose sum is σ = 7265606400. Its totient is φ = 564060672.

The previous prime is 2120949913. The next prime is 2120949947. The reversal of 2120949936 is 6399490212.

It is a happy number.

2120949936 is a `hidden beast` number, since 2 + 120 + 9 + 499 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2120949891 and 2120949900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129030 + ... + 1130906.

It is an arithmetic number, because the mean of its divisors is an integer number (30273360).

Almost surely, 2^2120949936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120949936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632803200).

2120949936 is an abundant number, since it is smaller than the sum of its proper divisors (5144656464).

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

2120949936 is a wasteful number, since it uses less digits than its factorization.

2120949936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2120949936 is about 46053.7722233478. The cubic root of 2120949936 is about 1284.8235029382.

The spelling of 2120949936 in words is "two billion, one hundred twenty million, nine hundred forty-nine thousand, nine hundred thirty-six".