2824150831441 has 27 divisors (see below), whose sum is σ = 2951016938779. Its totient is φ = 2702627316368.

The previous prime is 2824150831429. The next prime is 2824150831451. The reversal of 2824150831441 is 1441380514282.

The square root of 2824150831441 is 1680521.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1480916191041 + 1343234640400 = 1216929^2 + 1158980^2 .

It is not a de Polignac number, because 2824150831441 - 2¹⁷ = 2824150700369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2824150831451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8138763030 + ... + 8138763376.

Almost surely, 2^{2824150831441} is an apocalyptic number.

2824150831441 is the 1680521-st square number.

2824150831441 is the 840261-st centered octagonal number.

It is an amenable number.

2824150831441 is a deficient number, since it is larger than the sum of its proper divisors (126866107338).

2824150831441 is an frugal number, since it uses more digits than its factorization.

2824150831441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 2824150831441 in words is "two trillion, eight hundred twenty-four billion, one hundred fifty million, eight hundred thirty-one thousand, four hundred forty-one".