2254895445600 has 864 divisors, whose sum is σ = 9369272203200. Its totient is φ = 510037032960.

The previous prime is 2254895445599. The next prime is 2254895445601. The reversal of 2254895445600 is 65445984522.

2254895445600 is a `hidden beast` number, since 2 + 2 + 5 + 48 + 9 + 544 + 56 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2254895445599) and next prime (2254895445601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254895445601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239546494 + ... + 239555906.

It is an arithmetic number, because the mean of its divisors is an integer number (10844065050).

Almost surely, 2^{2254895445600} is an apocalyptic number.

2254895445600 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 2254895445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684636101600).

2254895445600 is an abundant number, since it is smaller than the sum of its proper divisors (7114376757600).

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

2254895445600 is a wasteful number, since it uses less digits than its factorization.

2254895445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 2254895445600 in words is "two trillion, two hundred fifty-four billion, eight hundred ninety-five million, four hundred forty-five thousand, six hundred".