2786006352960 has 504 divisors, whose sum is σ = 9977659211520. Its totient is φ = 740927886336.

The previous prime is 2786006352797. The next prime is 2786006352967. The reversal of 2786006352960 is 692536006872.

2786006352960 is a `hidden beast` number, since 2 + 7 + 8 + 600 + 6 + 3 + 5 + 29 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2786006352897 and 2786006352906.

It is not an unprimeable number, because it can be changed into a prime (2786006352967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 879697297 + ... + 879700463.

It is an arithmetic number, because the mean of its divisors is an integer number (19796942880).

Almost surely, 2^{2786006352960} is an apocalyptic number.

2786006352960 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 2786006352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988829605760).

2786006352960 is an abundant number, since it is smaller than the sum of its proper divisors (7191652858560).

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

2786006352960 is an frugal number, since it uses more digits than its factorization.

2786006352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2786006352960 in words is "two trillion, seven hundred eighty-six billion, six million, three hundred fifty-two thousand, nine hundred sixty".