2251392 has 128 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 614400.

The previous prime is 2251373. The next prime is 2251397. The reversal of 2251392 is 2931522.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (2251397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54892 + ... + 54932.

2^2251392 is an apocalyptic number.

2251392 is a gapful number since it is divisible by the number (22) 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 2251392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2251392 is an abundant number, since it is smaller than the sum of its proper divisors (4945728).

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

2251392 is a wasteful number, since it uses less digits than its factorization.

2251392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2251392 is about 1500.4639282569. The cubic root of 2251392 is about 131.0640868954.

The spelling of 2251392 in words is "two million, two hundred fifty-one thousand, three hundred ninety-two".