2256138480 has 80 divisors (see below), whose sum is σ = 7014443904. Its totient is φ = 599880960.

The previous prime is 2256138463. The next prime is 2256138487. The reversal of 2256138480 is 848316522.

2256138480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256138487) 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, 69735 + ... + 96825.

Almost surely, 2^2256138480 is an apocalyptic number.

2256138480 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 2256138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507221952).

2256138480 is an abundant number, since it is smaller than the sum of its proper divisors (4758305424).

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

2256138480 is a wasteful number, since it uses less digits than its factorization.

2256138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27454 (or 27448 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2256138480 is about 47498.8260907572. The cubic root of 2256138480 is about 1311.5612719817.

The spelling of 2256138480 in words is "two billion, two hundred fifty-six million, one hundred thirty-eight thousand, four hundred eighty".