2282541535104 has 128 divisors (see below), whose sum is σ = 6172278900480. Its totient is φ = 747253678080.

The previous prime is 2282541535103. The next prime is 2282541535147. The reversal of 2282541535104 is 4015351452822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282541535103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4645597 + ... + 5113379.

It is an arithmetic number, because the mean of its divisors is an integer number (48220928910).

Almost surely, 2^{2282541535104} is an apocalyptic number.

2282541535104 is a gapful number since it is divisible by the number (24) 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 2282541535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086139450240).

2282541535104 is an abundant number, since it is smaller than the sum of its proper divisors (3889737365376).

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

2282541535104 is a wasteful number, since it uses less digits than its factorization.

2282541535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468028 (or 468016 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

Adding to 2282541535104 its reverse (4015351452822), we get a palindrome (6297892987926).

The spelling of 2282541535104 in words is "two trillion, two hundred eighty-two billion, five hundred forty-one million, five hundred thirty-five thousand, one hundred four".