2255114304400 has 240 divisors, whose sum is σ = 5526361165248. Its totient is φ = 884217600000.

The previous prime is 2255114304397. The next prime is 2255114304403. The reversal of 2255114304400 is 44034115522.

It is an interprime number because it is at equal distance from previous prime (2255114304397) and next prime (2255114304403).

It is not an unprimeable number, because it can be changed into a prime (2255114304403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2145683875 + ... + 2145684925.

Almost surely, 2^{2255114304400} is an apocalyptic number.

2255114304400 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 2255114304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763180582624).

2255114304400 is an abundant number, since it is smaller than the sum of its proper divisors (3271246860848).

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

2255114304400 is a wasteful number, since it uses less digits than its factorization.

2255114304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 2255114304400 its reverse (44034115522), we get a palindrome (2299148419922).

The spelling of 2255114304400 in words is "two trillion, two hundred fifty-five billion, one hundred fourteen million, three hundred four thousand, four hundred".