2251860336 has 240 divisors, whose sum is σ = 7174302720. Its totient is φ = 658627200.

The previous prime is 2251860329. The next prime is 2251860349. The reversal of 2251860336 is 6330681522.

It is a happy number.

2251860336 is a `hidden beast` number, since 2 + 2 + 5 + 18 + 603 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2251860336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5941395 + ... + 5941773.

It is an arithmetic number, because the mean of its divisors is an integer number (29892928).

Almost surely, 2^2251860336 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 2251860336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587151360).

2251860336 is an abundant number, since it is smaller than the sum of its proper divisors (4922442384).

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

2251860336 is a wasteful number, since it uses less digits than its factorization.

2251860336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2251860336 is about 47453.7705140487. The cubic root of 2251860336 is about 1310.7317427694.

The spelling of 2251860336 in words is "two billion, two hundred fifty-one million, eight hundred sixty thousand, three hundred thirty-six".