2251998 has 48 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 630720.

The previous prime is 2251993. The next prime is 2252009. The reversal of 2251998 is 8991522.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251993) 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, 7540 + ... + 7832.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

2^2251998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

2251998 is an abundant number, since it is smaller than the sum of its proper divisors (3435138).

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

2251998 is a wasteful number, since it uses less digits than its factorization.

2251998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2251998 is about 1500.6658522136. The cubic root of 2251998 is about 131.0758452078.

It can be divided in two parts, 2251 and 998, that added together give a square (3249 = 57²).

The spelling of 2251998 in words is "two million, two hundred fifty-one thousand, nine hundred ninety-eight".