2825939348544 has 448 divisors, whose sum is σ = 8459271790592. Its totient is φ = 826619904000.

The previous prime is 2825939348543. The next prime is 2825939348597. The reversal of 2825939348544 is 4458439395282.

It is a super-2 number, since 2×2825939348544² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2825939348543) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3115698939 + ... + 3115699845.

It is an arithmetic number, because the mean of its divisors is an integer number (18882303104).

Almost surely, 2^{2825939348544} is an apocalyptic number.

2825939348544 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 2825939348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229635895296).

2825939348544 is an abundant number, since it is smaller than the sum of its proper divisors (5633332442048).

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

2825939348544 is a wasteful number, since it uses less digits than its factorization.

2825939348544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 66.

The spelling of 2825939348544 in words is "two trillion, eight hundred twenty-five billion, nine hundred thirty-nine million, three hundred forty-eight thousand, five hundred forty-four".