2254059360 has 384 divisors, whose sum is σ = 9101030400. Its totient is φ = 510382080.

The previous prime is 2254059349. The next prime is 2254059371. The reversal of 2254059360 is 639504522.

2254059360 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 0 + 593 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2254059349) and next prime (2254059371).

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 63 ways as a sum of consecutive naturals, for example, 3961156 + ... + 3961724.

It is an arithmetic number, because the mean of its divisors is an integer number (23700600).

Almost surely, 2^2254059360 is an apocalyptic number.

2254059360 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 2254059360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550515200).

2254059360 is an abundant number, since it is smaller than the sum of its proper divisors (6846971040).

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

2254059360 is a wasteful number, since it uses less digits than its factorization.

2254059360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2254059360 is about 47476.9350316551. The cubic root of 2254059360 is about 1311.1582631281.

The spelling of 2254059360 in words is "two billion, two hundred fifty-four million, fifty-nine thousand, three hundred sixty".