2120664 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 558720.

The previous prime is 2120653. The next prime is 2120693. The reversal of 2120664 is 4660212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2120664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1699 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

2^2120664 is an apocalyptic number.

2120664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2120664 is an abundant number, since it is smaller than the sum of its proper divisors (4411176).

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

2120664 is a wasteful number, since it uses less digits than its factorization.

2120664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2120664 is about 1456.2499785408. The cubic root of 2120664 is about 128.4765762489.

Adding to 2120664 its reverse (4660212), we get a palindrome (6780876).

The spelling of 2120664 in words is "two million, one hundred twenty thousand, six hundred sixty-four".