2825409438720 has 2112 divisors, whose sum is σ = 11803123837440. Its totient is φ = 617663692800.

The previous prime is 2825409438701. The next prime is 2825409438737. The reversal of 2825409438720 is 278349045282.

2825409438720 is a `hidden beast` number, since 2 + 8 + 2 + 540 + 94 + 3 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20623426492 + ... + 20623426628.

Almost surely, 2^{2825409438720} is an apocalyptic number.

2825409438720 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 2825409438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901561918720).

2825409438720 is an abundant number, since it is smaller than the sum of its proper divisors (8977714398720).

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

2825409438720 is a wasteful number, since it uses less digits than its factorization.

2825409438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2825409438720 in words is "two trillion, eight hundred twenty-five billion, four hundred nine million, four hundred thirty-eight thousand, seven hundred twenty".