2102784 has 60 divisors (see below), whose sum is σ = 5757444. Its totient is φ = 681984.

The previous prime is 2102783. The next prime is 2102791. The reversal of 2102784 is 4872012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102783) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56814 + ... + 56850.

2^2102784 is an apocalyptic number.

2102784 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 2102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878722).

2102784 is an abundant number, since it is smaller than the sum of its proper divisors (3654660).

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

2102784 is an frugal number, since it uses more digits than its factorization.

2102784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2102784 is about 1450.0979277276. The cubic root of 2102784 is about 128.1144809131.

Multiplying 2102784 by its sum of digits (24), we get a square (50466816 = 7104²).

2102784 divided by its sum of digits (24) gives a square (87616 = 296²).

Adding to 2102784 its reverse (4872012), we get a palindrome (6974796).

The spelling of 2102784 in words is "two million, one hundred two thousand, seven hundred eighty-four".