2250642672 has 120 divisors (see below), whose sum is σ = 6757536240. Its totient is φ = 724308480.

The previous prime is 2250642629. The next prime is 2250642677. The reversal of 2250642672 is 2762460522.

2250642672 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 642 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250642677) 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, 102772 + ... + 122732.

It is an arithmetic number, because the mean of its divisors is an integer number (56312802).

Almost surely, 2^2250642672 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 2250642672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378768120).

2250642672 is an abundant number, since it is smaller than the sum of its proper divisors (4506893568).

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

2250642672 is a wasteful number, since it uses less digits than its factorization.

2250642672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20013 (or 19995 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2250642672 is about 47440.9387765461. The cubic root of 2250642672 is about 1310.4954464954.

The spelling of 2250642672 in words is "two billion, two hundred fifty million, six hundred forty-two thousand, six hundred seventy-two".