2512224 has 144 divisors (see below), whose sum is σ = 8530704. Its totient is φ = 691200.

The previous prime is 2512219. The next prime is 2512229. The reversal of 2512224 is 4222152.

It is a Cunningham number, because it is equal to 1585²-1.

It is an interprime number because it is at equal distance from previous prime (2512219) and next prime (2512229).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2512224² = 12622538852352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 2512197 and 2512206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41154 + ... + 41214.

It is an arithmetic number, because the mean of its divisors is an integer number (59241).

2^2512224 is an apocalyptic number.

2512224 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 2512224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352).

2512224 is an abundant number, since it is smaller than the sum of its proper divisors (6018480).

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

2512224 is a wasteful number, since it uses less digits than its factorization.

2512224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2512224 is about 1584.9996845426. Note that the first 3 decimals coincide. The cubic root of 2512224 is about 135.9417282078.

Adding to 2512224 its reverse (4222152), we get a palindrome (6734376).

The spelling of 2512224 in words is "two million, five hundred twelve thousand, two hundred twenty-four".