2785314475680 has 384 divisors, whose sum is σ = 10084194247680. Its totient is φ = 639112642560.

The previous prime is 2785314475667. The next prime is 2785314475733. The reversal of 2785314475680 is 865744135872.

It is a super-2 number, since 2×2785314475680² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116660224 + ... + 116684096.

It is an arithmetic number, because the mean of its divisors is an integer number (26260922520).

Almost surely, 2^{2785314475680} is an apocalyptic number.

2785314475680 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 2785314475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042097123840).

2785314475680 is an abundant number, since it is smaller than the sum of its proper divisors (7298879772000).

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

2785314475680 is a wasteful number, since it uses less digits than its factorization.

2785314475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25084 (or 25076 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 2785314475680 in words is "two trillion, seven hundred eighty-five billion, three hundred fourteen million, four hundred seventy-five thousand, six hundred eighty".