2252261530044 has 72 divisors (see below), whose sum is σ = 5780631559248. Its totient is φ = 739236072960.

The previous prime is 2252261530019. The next prime is 2252261530049. The reversal of 2252261530044 is 4400351622522.

2252261530044 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 2 + 615 + 30 + 0 + 4 + 4 = 666.

It is a super-2 number, since 2×2252261530044² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2252261529990 and 2252261530008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252261530049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5546884 + ... + 5939060.

It is an arithmetic number, because the mean of its divisors is an integer number (80286549434).

Almost surely, 2^{2252261530044} 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 2252261530044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890315779624).

2252261530044 is an abundant number, since it is smaller than the sum of its proper divisors (3528370029204).

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

2252261530044 is a wasteful number, since it uses less digits than its factorization.

2252261530044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394635 (or 394630 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2252261530044 in words is "two trillion, two hundred fifty-two billion, two hundred sixty-one million, five hundred thirty thousand, forty-four".