2256309360 has 240 divisors, whose sum is σ = 8061689376. Its totient is φ = 563576832.

The previous prime is 2256309311. The next prime is 2256309371. The reversal of 2256309360 is 639036522.

2256309360 is a `hidden beast` number, since 2 + 2 + 563 + 0 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 4124607 + ... + 4125153.

Almost surely, 2^2256309360 is an apocalyptic number.

2256309360 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 2256309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030844688).

2256309360 is an abundant number, since it is smaller than the sum of its proper divisors (5805380016).

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

2256309360 is a wasteful number, since it uses less digits than its factorization.

2256309360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2256309360 is about 47500.6248379956. The cubic root of 2256309360 is about 1311.5943837099.

The spelling of 2256309360 in words is "two billion, two hundred fifty-six million, three hundred nine thousand, three hundred sixty".