2214052824 has 64 divisors (see below), whose sum is σ = 5852851200. Its totient is φ = 696007296.

The previous prime is 2214052823. The next prime is 2214052873. The reversal of 2214052824 is 4282504122.

It is a junction number, because it is equal to n+sod(n) for n = 2214052791 and 2214052800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214052823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90802 + ... + 112574.

It is an arithmetic number, because the mean of its divisors is an integer number (91450800).

Almost surely, 2^2214052824 is an apocalyptic number.

2214052824 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 2214052824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926425600).

2214052824 is an abundant number, since it is smaller than the sum of its proper divisors (3638798376).

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

2214052824 is a wasteful number, since it uses less digits than its factorization.

2214052824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22024 (or 22020 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2214052824 is about 47053.7227432644. The cubic root of 2214052824 is about 1303.3548111807.

Adding to 2214052824 its reverse (4282504122), we get a palindrome (6496556946).

The spelling of 2214052824 in words is "two billion, two hundred fourteen million, fifty-two thousand, eight hundred twenty-four".