2251442000 has 60 divisors (see below), whose sum is σ = 5449122588. Its totient is φ = 899728000.

The previous prime is 2251441967. The next prime is 2251442051. The reversal of 2251442000 is 2441522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 415833664 + 1835608336 = 20392^2 + 42844^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2121470 + ... + 2122530.

Almost surely, 2^2251442000 is an apocalyptic number.

2251442000 is a gapful number since it is divisible by the number (20) 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 2251442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724561294).

2251442000 is an abundant number, since it is smaller than the sum of its proper divisors (3197680588).

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

2251442000 is an frugal number, since it uses more digits than its factorization.

2251442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2251442000 is about 47449.3624825455. The cubic root of 2251442000 is about 1310.6505713302.

Multiplying 2251442000 by its sum of digits (20), we get a square (45028840000 = 212200²).

2251442000 divided by its sum of digits (20) gives a square (112572100 = 10610²).

Adding to 2251442000 its reverse (2441522), we get a palindrome (2253883522).

The spelling of 2251442000 in words is "two billion, two hundred fifty-one million, four hundred forty-two thousand".