2120228819748 has 384 divisors, whose sum is σ = 6294877747200. Its totient is φ = 612467122176.

The previous prime is 2120228819743. The next prime is 2120228819783. The reversal of 2120228819748 is 8479188220212.

It is a happy number.

2120228819748 is a `hidden beast` number, since 212 + 0 + 228 + 81 + 97 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2120228819694 and 2120228819703.

It is not an unprimeable number, because it can be changed into a prime (2120228819741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300439836 + ... + 300446892.

It is an arithmetic number, because the mean of its divisors is an integer number (16392910800).

Almost surely, 2^{2120228819748} 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 2120228819748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147438873600).

2120228819748 is an abundant number, since it is smaller than the sum of its proper divisors (4174648927452).

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

2120228819748 is a wasteful number, since it uses less digits than its factorization.

2120228819748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 2120228819748 in words is "two trillion, one hundred twenty billion, two hundred twenty-eight million, eight hundred nineteen thousand, seven hundred forty-eight".