2251224546552 has 48 divisors (see below), whose sum is σ = 6097309994880. Its totient is φ = 750378211200.

The previous prime is 2251224546551. The next prime is 2251224546619. The reversal of 2251224546552 is 2556454221522.

2251224546552 is a `hidden beast` number, since 2 + 2 + 5 + 12 + 2 + 45 + 46 + 552 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2251224546498 and 2251224546507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251224546551) 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, 1228777 + ... + 2452007.

It is an arithmetic number, because the mean of its divisors is an integer number (127027291560).

Almost surely, 2^{2251224546552} is an apocalyptic number.

It is an amenable number.

2251224546552 is an abundant number, since it is smaller than the sum of its proper divisors (3846085448328).

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

2251224546552 is a wasteful number, since it uses less digits than its factorization.

2251224546552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248804 (or 1248797 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 2251224546552 in words is "two trillion, two hundred fifty-one billion, two hundred twenty-four million, five hundred forty-six thousand, five hundred fifty-two".