2252180628 has 72 divisors (see below), whose sum is σ = 5891325440. Its totient is φ = 724697280.

The previous prime is 2252180611. The next prime is 2252180641. The reversal of 2252180628 is 8260812522.

2252180628 is a `hidden beast` number, since 2 + 2 + 5 + 21 + 8 + 0 + 628 = 666.

It is a super-2 number, since 2×2252180628² = 10144635162276948768, which 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 = 2252180592 and 2252180601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487626 + ... + 492222.

Almost surely, 2^2252180628 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 2252180628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945662720).

2252180628 is an abundant number, since it is smaller than the sum of its proper divisors (3639144812).

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

2252180628 is a wasteful number, since it uses less digits than its factorization.

2252180628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2252180628 is about 47457.1451733035. The cubic root of 2252180628 is about 1310.7938835369.

The spelling of 2252180628 in words is "two billion, two hundred fifty-two million, one hundred eighty thousand, six hundred twenty-eight".