2120779584 has 756 divisors, whose sum is σ = 8410907232. Its totient is φ = 526901760.

The previous prime is 2120779547. The next prime is 2120779621. The reversal of 2120779584 is 4859770212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2120779547) and next prime (2120779621).

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×2120779584² = 8995412087822426112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 92207797 + ... + 92207819.

Almost surely, 2^2120779584 is an apocalyptic number.

2120779584 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 2120779584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205453616).

2120779584 is an abundant number, since it is smaller than the sum of its proper divisors (6290127648).

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

2120779584 is a wasteful number, since it uses less digits than its factorization.

2120779584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 2120779584 is about 46051.9226960178. The cubic root of 2120779584 is about 1284.7891035543.

The spelling of 2120779584 in words is "two billion, one hundred twenty million, seven hundred seventy-nine thousand, five hundred eighty-four".