2252712960 has 528 divisors, whose sum is σ = 8583644160. Its totient is φ = 544112640.

The previous prime is 2252712937. The next prime is 2252712967. The reversal of 2252712960 is 692172522.

It is a happy number.

2252712960 is a `hidden beast` number, since 2 + 2 + 527 + 129 + 6 + 0 = 666.

It is a super-3 number, since 3×2252712960³ (a number of 29 digits) contains 333 as substring.

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 (2252712967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27141079 + ... + 27141161.

Almost surely, 2^2252712960 is an apocalyptic number.

2252712960 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 2252712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291822080).

2252712960 is an abundant number, since it is smaller than the sum of its proper divisors (6330931200).

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

2252712960 is a wasteful number, since it uses less digits than its factorization.

2252712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2252712960 is about 47462.7533967426. The cubic root of 2252712960 is about 1310.8971497598.

The spelling of 2252712960 in words is "two billion, two hundred fifty-two million, seven hundred twelve thousand, nine hundred sixty".