2256776560 has 80 divisors (see below), whose sum is σ = 5537056320. Its totient is φ = 853698560.

The previous prime is 2256776551. The next prime is 2256776567. The reversal of 2256776560 is 656776522.

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

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 2256776560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256776567) 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, 156870 + ... + 170650.

It is an arithmetic number, because the mean of its divisors is an integer number (69213204).

Almost surely, 2^2256776560 is an apocalyptic number.

2256776560 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 2256776560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768528160).

2256776560 is an abundant number, since it is smaller than the sum of its proper divisors (3280279760).

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

2256776560 is a wasteful number, since it uses less digits than its factorization.

2256776560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13906 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The square root of 2256776560 is about 47505.5424134911. The cubic root of 2256776560 is about 1311.6849053699.

The spelling of 2256776560 in words is "two billion, two hundred fifty-six million, seven hundred seventy-six thousand, five hundred sixty".