2254563360 has 144 divisors (see below), whose sum is σ = 8792836416. Its totient is φ = 515326464.

The previous prime is 2254563347. The next prime is 2254563361. The reversal of 2254563360 is 633654522.

2254563360 is a `hidden beast` number, since 22 + 545 + 6 + 33 + 60 = 666.

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

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 (2254563361) 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 23 ways as a sum of consecutive naturals, for example, 101754 + ... + 121913.

It is an arithmetic number, because the mean of its divisors is an integer number (61061364).

Almost surely, 2^2254563360 is an apocalyptic number.

2254563360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254563360 is an abundant number, since it is smaller than the sum of its proper divisors (6538273056).

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

2254563360 is a wasteful number, since it uses less digits than its factorization.

2254563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223695 (or 223684 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2254563360 is about 47482.2425755145. The cubic root of 2254563360 is about 1311.2559793536.

It can be divided in two parts, 22545 and 63360, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 2254563360 in words is "two billion, two hundred fifty-four million, five hundred sixty-three thousand, three hundred sixty".