2282898666400 has 144 divisors (see below), whose sum is σ = 6090040712448. Its totient is φ = 828743168000.

The previous prime is 2282898666313. The next prime is 2282898666421. The reversal of 2282898666400 is 46668982822.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4999665 + ... + 5437135.

It is an arithmetic number, because the mean of its divisors is an integer number (42291949392).

Almost surely, 2^{2282898666400} is an apocalyptic number.

2282898666400 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 2282898666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045020356224).

2282898666400 is an abundant number, since it is smaller than the sum of its proper divisors (3807142046048).

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

2282898666400 is a wasteful number, since it uses less digits than its factorization.

2282898666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438095 (or 438082 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 61.

The spelling of 2282898666400 in words is "two trillion, two hundred eighty-two billion, eight hundred ninety-eight million, six hundred sixty-six thousand, four hundred".