2120768 has 28 divisors (see below), whose sum is σ = 4533900. Its totient is φ = 978432.

The previous prime is 2120753. The next prime is 2120771. The reversal of 2120768 is 8670212.

2120768 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 937024 = 1088^2 + 968^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 2106.

It is an arithmetic number, because the mean of its divisors is an integer number (161925).

2^2120768 is an apocalyptic number.

It is an amenable number.

2120768 is an abundant number, since it is smaller than the sum of its proper divisors (2413132).

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

2120768 is a wasteful number, since it uses less digits than its factorization.

2120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2120768 is about 1456.2856862580. The cubic root of 2120768 is about 128.4786764316.

The spelling of 2120768 in words is "two million, one hundred twenty thousand, seven hundred sixty-eight".