2254067712 has 288 divisors, whose sum is σ = 7333653600. Its totient is φ = 661782528.

The previous prime is 2254067707. The next prime is 2254067731. The reversal of 2254067712 is 2177604522.

It is a happy number.

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 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, 5510964 + ... + 5511372.

It is an arithmetic number, because the mean of its divisors is an integer number (25464075).

Almost surely, 2^2254067712 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 2254067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666826800).

2254067712 is an abundant number, since it is smaller than the sum of its proper divisors (5079585888).

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

2254067712 is a wasteful number, since it uses less digits than its factorization.

2254067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2254067712 is about 47477.0229900738. The cubic root of 2254067712 is about 1311.1598825442.

The spelling of 2254067712 in words is "two billion, two hundred fifty-four million, sixty-seven thousand, seven hundred twelve".