2254264560 has 160 divisors (see below), whose sum is σ = 7784263680. Its totient is φ = 599622912.

The previous prime is 2254264559. The next prime is 2254264589. The reversal of 2254264560 is 654624522.

2254264560 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 2 + 645 + 6 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1050849 + ... + 1052991.

It is an arithmetic number, because the mean of its divisors is an integer number (48651648).

Almost surely, 2^2254264560 is an apocalyptic number.

2254264560 is a gapful number since it is divisible by the number (20) 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 2254264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892131840).

2254264560 is an abundant number, since it is smaller than the sum of its proper divisors (5529999120).

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

2254264560 is a wasteful number, since it uses less digits than its factorization.

2254264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2254264560 is about 47479.0960318328. The cubic root of 2254264560 is about 1311.1980493491.

The spelling of 2254264560 in words is "two billion, two hundred fifty-four million, two hundred sixty-four thousand, five hundred sixty".