2251980368 has 120 divisors (see below), whose sum is σ = 5003013120. Its totient is φ = 980179200.

The previous prime is 2251980331. The next prime is 2251980373. The reversal of 2251980368 is 8630891522.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9422393 + ... + 9422631.

It is an arithmetic number, because the mean of its divisors is an integer number (41691776).

Almost surely, 2^2251980368 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 2251980368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501506560).

2251980368 is an abundant number, since it is smaller than the sum of its proper divisors (2751032752).

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

2251980368 is a wasteful number, since it uses less digits than its factorization.

2251980368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 2251980368 is about 47455.0352228296. The cubic root of 2251980368 is about 1310.7550312115.

The spelling of 2251980368 in words is "two billion, two hundred fifty-one million, nine hundred eighty thousand, three hundred sixty-eight".