2251524 has 48 divisors (see below), whose sum is σ = 5898816. Its totient is φ = 662400.

The previous prime is 2251517. The next prime is 2251547. The reversal of 2251524 is 4251522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2251524.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4654 + ... + 5114.

It is an arithmetic number, because the mean of its divisors is an integer number (122892).

2^2251524 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 2251524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949408).

2251524 is an abundant number, since it is smaller than the sum of its proper divisors (3647292).

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

2251524 is a wasteful number, since it uses less digits than its factorization.

2251524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its digits is 800, while the sum is 21.

The square root of 2251524 is about 1500.5079140078. The cubic root of 2251524 is about 131.0666482917.

It can be divided in two parts, 2251 and 524, that added together give a triangular number (2775 = T₇₄).

The spelling of 2251524 in words is "two million, two hundred fifty-one thousand, five hundred twenty-four".