2120596416 has 168 divisors, whose sum is σ = 6446794320. Its totient is φ = 683527680.

The previous prime is 2120596393. The next prime is 2120596433. The reversal of 2120596416 is 6146950212.

2120596416 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 5 + 9 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659970 + ... + 1661246.

Almost surely, 2^2120596416 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 2120596416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223397160).

2120596416 is an abundant number, since it is smaller than the sum of its proper divisors (4326197904).

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

2120596416 is a wasteful number, since it uses less digits than its factorization.

2120596416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2120596416 is about 46049.9339413207. The cubic root of 2120596416 is about 1284.7521141648.

The spelling of 2120596416 in words is "two billion, one hundred twenty million, five hundred ninety-six thousand, four hundred sixteen".