2825724860640 has 768 divisors, whose sum is σ = 11021858749440. Its totient is φ = 670383267840.

The previous prime is 2825724860617. The next prime is 2825724860641. The reversal of 2825724860640 is 460684275282.

2825724860640 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 7 + 24 + 8 + 606 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825724860641) 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 127 ways as a sum of consecutive naturals, for example, 499860054 + ... + 499865706.

It is an arithmetic number, because the mean of its divisors is an integer number (14351378580).

Almost surely, 2^{2825724860640} is an apocalyptic number.

2825724860640 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 2825724860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510929374720).

2825724860640 is an abundant number, since it is smaller than the sum of its proper divisors (8196133888800).

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

2825724860640 is a wasteful number, since it uses less digits than its factorization.

2825724860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2825724860640 in words is "two trillion, eight hundred twenty-five billion, seven hundred twenty-four million, eight hundred sixty thousand, six hundred forty".