2254467072 has 208 divisors, whose sum is σ = 7067587968. Its totient is φ = 630128640.

The previous prime is 2254467031. The next prime is 2254467073. The reversal of 2254467072 is 2707644522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2254467072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254467073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756543 + ... + 1757825.

Almost surely, 2^2254467072 is an apocalyptic number.

2254467072 is a gapful number since it is divisible by the number (22) 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 2254467072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533793984).

2254467072 is an abundant number, since it is smaller than the sum of its proper divisors (4813120896).

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

2254467072 is a wasteful number, since it uses less digits than its factorization.

2254467072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 2254467072 is about 47481.2286277430. The cubic root of 2254467072 is about 1311.2373120268.

The spelling of 2254467072 in words is "two billion, two hundred fifty-four million, four hundred sixty-seven thousand, seventy-two".