2253072672 has 288 divisors, whose sum is σ = 7027098624. Its totient is φ = 709171200.

The previous prime is 2253072671. The next prime is 2253072697. The reversal of 2253072672 is 2762703522.

It is a tau number, because it is divible by the number of its divisors (288).

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 (2253072671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11796097 + ... + 11796287.

It is an arithmetic number, because the mean of its divisors is an integer number (24399648).

Almost surely, 2^2253072672 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 2253072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513549312).

2253072672 is an abundant number, since it is smaller than the sum of its proper divisors (4774025952).

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

2253072672 is a wasteful number, since it uses less digits than its factorization.

2253072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2253072672 is about 47466.5426590140. The cubic root of 2253072672 is about 1310.9669204981.

The spelling of 2253072672 in words is "two billion, two hundred fifty-three million, seventy-two thousand, six hundred seventy-two".