2120380416 has 520 divisors, whose sum is σ = 7992319104. Its totient is φ = 544112640.

The previous prime is 2120380363. The next prime is 2120380417. The reversal of 2120380416 is 6140830212.

2120380416 is a `hidden beast` number, since 212 + 0 + 38 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2120380416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120380417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25546711 + ... + 25546793.

Almost surely, 2^2120380416 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 2120380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996159552).

2120380416 is an abundant number, since it is smaller than the sum of its proper divisors (5871938688).

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

2120380416 is an equidigital number, since it uses as much as digits as its factorization.

2120380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2120380416 is about 46047.5886013589. The cubic root of 2120380416 is about 1284.7084918648.

The spelling of 2120380416 in words is "two billion, one hundred twenty million, three hundred eighty thousand, four hundred sixteen".