2250857952 has 144 divisors (see below), whose sum is σ = 7700434560. Its totient is φ = 609244416.

The previous prime is 2250857941. The next prime is 2250857969. The reversal of 2250857952 is 2597580522.

2250857952 is a `hidden beast` number, since 2 + 2 + 508 + 57 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2250857898 and 2250857907.

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, 8923 + ... + 67685.

It is an arithmetic number, because the mean of its divisors is an integer number (53475240).

Almost surely, 2^2250857952 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 2250857952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850217280).

2250857952 is an abundant number, since it is smaller than the sum of its proper divisors (5449576608).

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

2250857952 is a wasteful number, since it uses less digits than its factorization.

2250857952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58805 (or 58794 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2250857952 is about 47443.2076487246. The cubic root of 2250857952 is about 1310.5372292964.

The spelling of 2250857952 in words is "two billion, two hundred fifty million, eight hundred fifty-seven thousand, nine hundred fifty-two".