2276848189440 has 480 divisors, whose sum is σ = 8831236014720. Its totient is φ = 551957299200.

The previous prime is 2276848189439. The next prime is 2276848189493. The reversal of 2276848189440 is 449818486722.

2276848189440 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 8 + 4 + 8 + 189 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2276848189440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24283450 + ... + 24377030.

It is an arithmetic number, because the mean of its divisors is an integer number (18398408364).

Almost surely, 2^{2276848189440} is an apocalyptic number.

2276848189440 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 2276848189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415618007360).

2276848189440 is an abundant number, since it is smaller than the sum of its proper divisors (6554387825280).

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

2276848189440 is an equidigital number, since it uses as much as digits as its factorization.

2276848189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93634 (or 93602 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 2276848189440 in words is "two trillion, two hundred seventy-six billion, eight hundred forty-eight million, one hundred eighty-nine thousand, four hundred forty".