2682366720 has 432 divisors, whose sum is σ = 9864965376. Its totient is φ = 619520000.

The previous prime is 2682366707. The next prime is 2682366727. The reversal of 2682366720 is 276632862.

It is not an unprimeable number, because it can be changed into a prime (2682366727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10686595 + ... + 10686845.

It is an arithmetic number, because the mean of its divisors is an integer number (22835568).

Almost surely, 2^2682366720 is an apocalyptic number.

2682366720 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 2682366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932482688).

2682366720 is an abundant number, since it is smaller than the sum of its proper divisors (7182598656).

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

2682366720 is a wasteful number, since it uses less digits than its factorization.

2682366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2682366720 is about 51791.5699704112. The cubic root of 2682366720 is about 1389.4386774806.

It can be divided in two parts, 2682366 and 720, that added together give a triangular number (2683086 = T₂₃₁₆).

The spelling of 2682366720 in words is "two billion, six hundred eighty-two million, three hundred sixty-six thousand, seven hundred twenty".