2251455552 has 84 divisors (see below), whose sum is σ = 6462337596. Its totient is φ = 749445120.

The previous prime is 2251455551. The next prime is 2251455581. The reversal of 2251455552 is 2555541522.

2251455552 is a `hidden beast` number, since 2 + 2 + 51 + 4 + 55 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1504198656 + 747256896 = 38784^2 + 27336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2251455551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491352 + ... + 495912.

Almost surely, 2^2251455552 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 2251455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231168798).

2251455552 is an abundant number, since it is smaller than the sum of its proper divisors (4210882044).

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

2251455552 is a wasteful number, since it uses less digits than its factorization.

2251455552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5423 counting only the distinct ones).

The product of its digits is 100000, while the sum is 36.

The square root of 2251455552 is about 47449.5052871998. The cubic root of 2251455552 is about 1310.6532010376.

The spelling of 2251455552 in words is "two billion, two hundred fifty-one million, four hundred fifty-five thousand, five hundred fifty-two".