2806107300000 has 360 divisors, whose sum is σ = 10315224088092. Its totient is φ = 748293120000.

The previous prime is 2806107299911. The next prime is 2806107300019. The reversal of 2806107300000 is 37016082.

It can be written as a sum of positive squares in 6 ways, for example, as 1047290250384 + 1758817049616 = 1023372^2 + 1326204^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2806107300000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7926784 + ... + 8273216.

Almost surely, 2^{2806107300000} is an apocalyptic number.

2806107300000 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 2806107300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157612044046).

2806107300000 is an abundant number, since it is smaller than the sum of its proper divisors (7509116788092).

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

2806107300000 is an frugal number, since it uses more digits than its factorization.

2806107300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346480 (or 346443 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2806107300000 in words is "two trillion, eight hundred six billion, one hundred seven million, three hundred thousand".