2832541378560 has 576 divisors, whose sum is σ = 10183301856000. Its totient is φ = 727310008320.

The previous prime is 2832541378543. The next prime is 2832541378573. The reversal of 2832541378560 is 658731452382.

2832541378560 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 5 + 4 + 1 + 3 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2832541378560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2832541378497 and 2832541378506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151906611 + ... + 1151909069.

It is an arithmetic number, because the mean of its divisors is an integer number (17679343500).

Almost surely, 2^{2832541378560} is an apocalyptic number.

2832541378560 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 2832541378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091650928000).

2832541378560 is an abundant number, since it is smaller than the sum of its proper divisors (7350760477440).

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

2832541378560 is a wasteful number, since it uses less digits than its factorization.

2832541378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2832541378560 in words is "two trillion, eight hundred thirty-two billion, five hundred forty-one million, three hundred seventy-eight thousand, five hundred sixty".