2120416 has 48 divisors (see below), whose sum is σ = 4523904. Its totient is φ = 975744.

The previous prime is 2120411. The next prime is 2120423. The reversal of 2120416 is 6140212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2120416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31615 + ... + 31681.

It is an arithmetic number, because the mean of its divisors is an integer number (94248).

2^2120416 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 2120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952).

2120416 is an abundant number, since it is smaller than the sum of its proper divisors (2403488).

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

2120416 is a wasteful number, since it uses less digits than its factorization.

2120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2120416 is about 1456.1648258353. The cubic root of 2120416 is about 128.4715678439.

Adding to 2120416 its reverse (6140212), we get a palindrome (8260628).

The spelling of 2120416 in words is "two million, one hundred twenty thousand, four hundred sixteen".