2825268705024 has 288 divisors, whose sum is σ = 7976015040000. Its totient is φ = 885348237312.

The previous prime is 2825268705019. The next prime is 2825268705041. The reversal of 2825268705024 is 4205078625282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327039192 + ... + 1327041320.

Almost surely, 2^{2825268705024} is an apocalyptic number.

2825268705024 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 2825268705024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988007520000).

2825268705024 is an abundant number, since it is smaller than the sum of its proper divisors (5150746334976).

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

2825268705024 is a wasteful number, since it uses less digits than its factorization.

2825268705024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 2825268705024 in words is "two trillion, eight hundred twenty-five billion, two hundred sixty-eight million, seven hundred five thousand, twenty-four".