2120484816 has 240 divisors, whose sum is σ = 6734807040. Its totient is φ = 619280640.

The previous prime is 2120484803. The next prime is 2120484827. The reversal of 2120484816 is 6184840212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1950225 + ... + 1951311.

It is an arithmetic number, because the mean of its divisors is an integer number (28061696).

Almost surely, 2^2120484816 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 2120484816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367403520).

2120484816 is an abundant number, since it is smaller than the sum of its proper divisors (4614322224).

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

2120484816 is a wasteful number, since it uses less digits than its factorization.

2120484816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2120484816 is about 46048.7221972554. The cubic root of 2120484816 is about 1284.7295763464.

It can be divided in two parts, 21204 and 84816, that multiplied together give a square (1798438464 = 42408²).

The spelling of 2120484816 in words is "two billion, one hundred twenty million, four hundred eighty-four thousand, eight hundred sixteen".