2251314000 has 400 divisors, whose sum is σ = 8765636880. Its totient is φ = 553651200.

The previous prime is 2251313989. The next prime is 2251314049. The reversal of 2251314000 is 4131522.

It can be written as a sum of positive squares in 8 ways, for example, as 1196883216 + 1054430784 = 34596^2 + 32472^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2105466 + ... + 2106534.

Almost surely, 2^2251314000 is an apocalyptic number.

2251314000 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 2251314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382818440).

2251314000 is an abundant number, since it is smaller than the sum of its proper divisors (6514322880).

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

2251314000 is a wasteful number, since it uses less digits than its factorization.

2251314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2251314000 is about 47448.0136570542. The cubic root of 2251314000 is about 1310.6257329596.

Adding to 2251314000 its reverse (4131522), we get a palindrome (2255445522).

The spelling of 2251314000 in words is "two billion, two hundred fifty-one million, three hundred fourteen thousand".