2120006464 has 56 divisors (see below), whose sum is σ = 4342087328. Its totient is φ = 1026224640.

The previous prime is 2120006431. The next prime is 2120006477. The reversal of 2120006464 is 4646000212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497527 + ... + 501769.

Almost surely, 2^2120006464 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 2120006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171043664).

2120006464 is an abundant number, since it is smaller than the sum of its proper divisors (2222080864).

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

2120006464 is a wasteful number, since it uses less digits than its factorization.

2120006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2120006464 is about 46043.5279273863. The cubic root of 2120006464 is about 1284.6329633494.

Adding to 2120006464 its reverse (4646000212), we get a palindrome (6766006676).

The spelling of 2120006464 in words is "two billion, one hundred twenty million, six thousand, four hundred sixty-four".