2682064787140 has 192 divisors, whose sum is σ = 6106178856960. Its totient is φ = 987216814080.

The previous prime is 2682064787041. The next prime is 2682064787183. The reversal of 2682064787140 is 417874602862.

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, 502915914 + ... + 502921246.

It is an arithmetic number, because the mean of its divisors is an integer number (31803014880).

Almost surely, 2^{2682064787140} is an apocalyptic number.

2682064787140 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 2682064787140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053089428480).

2682064787140 is an abundant number, since it is smaller than the sum of its proper divisors (3424114069820).

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

2682064787140 is a wasteful number, since it uses less digits than its factorization.

2682064787140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 2682064787140 in words is "two trillion, six hundred eighty-two billion, sixty-four million, seven hundred eighty-seven thousand, one hundred forty".