2251741824 has 96 divisors (see below), whose sum is σ = 6508206900. Its totient is φ = 747270144.

The previous prime is 2251741787. The next prime is 2251741841. The reversal of 2251741824 is 4281471522.

2251741824 is a `hidden beast` number, since 22 + 517 + 41 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2246760000 + 4981824 = 47400^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 264222 + ... + 272610.

Almost surely, 2^2251741824 is an apocalyptic number.

2251741824 is a gapful number since it is divisible by the number (24) 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 2251741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254103450).

2251741824 is an abundant number, since it is smaller than the sum of its proper divisors (4256465076).

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

2251741824 is a wasteful number, since it uses less digits than its factorization.

2251741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8642 (or 8627 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2251741824 is about 47452.5217875720. The cubic root of 2251741824 is about 1310.7087484236.

The spelling of 2251741824 in words is "two billion, two hundred fifty-one million, seven hundred forty-one thousand, eight hundred twenty-four".