2114784 has 72 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 603648.

The previous prime is 2114771. The next prime is 2114797. The reversal of 2114784 is 4874112.

It is an interprime number because it is at equal distance from previous prime (2114771) and next prime (2114797).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2114784² = 8944622733312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1492 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

2^2114784 is an apocalyptic number.

2114784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2114784 is an abundant number, since it is smaller than the sum of its proper divisors (4764816).

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

2114784 is a wasteful number, since it uses less digits than its factorization.

2114784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 2114784 is about 1454.2296929990. The cubic root of 2114784 is about 128.3577232930.

Adding to 2114784 its reverse (4874112), we get a palindrome (6988896).

The spelling of 2114784 in words is "two million, one hundred fourteen thousand, seven hundred eighty-four".