2252784960 has 504 divisors, whose sum is σ = 8548679880. Its totient is φ = 564350976.

The previous prime is 2252784959. The next prime is 2252784977. The reversal of 2252784960 is 694872522.

2252784960 is a `hidden beast` number, since 22 + 527 + 8 + 49 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 638673984 + 1614110976 = 25272^2 + 40176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 60886062 + ... + 60886098.

Almost surely, 2^2252784960 is an apocalyptic number.

2252784960 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 2252784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274339940).

2252784960 is an abundant number, since it is smaller than the sum of its proper divisors (6295894920).

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

2252784960 is an frugal number, since it uses more digits than its factorization.

2252784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2252784960 is about 47463.5118801801. The cubic root of 2252784960 is about 1310.9111156743.

The spelling of 2252784960 in words is "two billion, two hundred fifty-two million, seven hundred eighty-four thousand, nine hundred sixty".