2256077179200 has 1344 divisors, whose sum is σ = 8604969246720. Its totient is φ = 513257472000.

The previous prime is 2256077179199. The next prime is 2256077179207. The reversal of 2256077179200 is 29717706522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2256077179200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256077179207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7348785447 + ... + 7348785753.

It is an arithmetic number, because the mean of its divisors is an integer number (6402506880).

Almost surely, 2^{2256077179200} is an apocalyptic number.

2256077179200 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 2256077179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302484623360).

2256077179200 is an abundant number, since it is smaller than the sum of its proper divisors (6348892067520).

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

2256077179200 is a wasteful number, since it uses less digits than its factorization.

2256077179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 2256077179200 in words is "two trillion, two hundred fifty-six billion, seventy-seven million, one hundred seventy-nine thousand, two hundred".