2053416 has 32 divisors (see below), whose sum is σ = 5214240. Its totient is φ = 673728.

The previous prime is 2053411. The next prime is 2053421. The reversal of 2053416 is 6143502.

It is a happy number.

2053416 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (2053411) and next prime (2053421).

It is a junction number, because it is equal to n+sod(n) for n = 2053392 and 2053401.

It is not an unprimeable number, because it can be changed into a prime (2053411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 2246.

It is an arithmetic number, because the mean of its divisors is an integer number (162945).

2^2053416 is an apocalyptic number.

It is an amenable number.

2053416 is an abundant number, since it is smaller than the sum of its proper divisors (3160824).

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

2053416 is a wasteful number, since it uses less digits than its factorization.

2053416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2053416 is about 1432.9745287339. The cubic root of 2053416 is about 127.1039304667.

Adding to 2053416 its reverse (6143502), we get a palindrome (8196918).

The spelling of 2053416 in words is "two million, fifty-three thousand, four hundred sixteen".