2034816 has 64 divisors (see below), whose sum is σ = 6185280. Its totient is φ = 580608.

The previous prime is 2034811. The next prime is 2034817. The reversal of 2034816 is 6184302.

2034816 = T₁₁₃ + T₁₁₄ + ... + T₂₃₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2034811) 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, 2310 + ... + 3066.

It is an arithmetic number, because the mean of its divisors is an integer number (96645).

2^2034816 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 2034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092640).

2034816 is an abundant number, since it is smaller than the sum of its proper divisors (4150464).

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

2034816 is an equidigital number, since it uses as much as digits as its factorization.

2034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2034816 is about 1426.4697683442. The cubic root of 2034816 is about 126.7189934621.

It can be divided in two parts, 2034 and 816, that added together give a triangular number (2850 = T₇₅).

The spelling of 2034816 in words is "two million, thirty-four thousand, eight hundred sixteen".