2250558893856 has 768 divisors, whose sum is σ = 7643510784000. Its totient is φ = 575905075200.

The previous prime is 2250558893837. The next prime is 2250558893953. The reversal of 2250558893856 is 6583988550522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2062839871 + ... + 2062840961.

It is an arithmetic number, because the mean of its divisors is an integer number (9952488000).

Almost surely, 2^{2250558893856} is an apocalyptic number.

2250558893856 is a gapful number since it is divisible by the number (26) 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 2250558893856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821755392000).

2250558893856 is an abundant number, since it is smaller than the sum of its proper divisors (5392951890144).

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

2250558893856 is a wasteful number, since it uses less digits than its factorization.

2250558893856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 66.

The spelling of 2250558893856 in words is "two trillion, two hundred fifty billion, five hundred fifty-eight million, eight hundred ninety-three thousand, eight hundred fifty-six".