2354016 has 96 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 645120.

The previous prime is 2353993. The next prime is 2354039. The reversal of 2354016 is 6104532.

It is a happy number.

2354016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2353993) and next prime (2354039).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2353983 and 2354001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20776 + ... + 20888.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

2^2354016 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 2354016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

2354016 is an abundant number, since it is smaller than the sum of its proper divisors (5000352).

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

2354016 is a wasteful number, since it uses less digits than its factorization.

2354016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

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

The square root of 2354016 is about 1534.2802873009. The cubic root of 2354016 is about 133.0259809421.

Adding to 2354016 its reverse (6104532), we get a palindrome (8458548).

The spelling of 2354016 in words is "two million, three hundred fifty-four thousand, sixteen".