2787082182960 has 320 divisors, whose sum is σ = 8956306664448. Its totient is φ = 716507430912.

The previous prime is 2787082182883. The next prime is 2787082182967. The reversal of 2787082182960 is 692812807872.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2787082182894 and 2787082182903.

It is not an unprimeable number, because it can be changed into a prime (2787082182967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332702292 + ... + 332710668.

Almost surely, 2^{2787082182960} is an apocalyptic number.

2787082182960 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 2787082182960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478153332224).

2787082182960 is an abundant number, since it is smaller than the sum of its proper divisors (6169224481488).

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

2787082182960 is a wasteful number, since it uses less digits than its factorization.

2787082182960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 2787082182960 in words is "two trillion, seven hundred eighty-seven billion, eighty-two million, one hundred eighty-two thousand, nine hundred sixty".