2682687989520 has 2160 divisors, whose sum is σ = 12195153210240. Its totient is φ = 525496688640.

The previous prime is 2682687989503. The next prime is 2682687989521. The reversal of 2682687989520 is 259897862862.

2682687989520 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 6 + 8 + 7 + 98 + 9 + 520 = 666.

It is a super-2 number, since 2×2682687989520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2682687989521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8738397207 + ... + 8738397513.

It is an arithmetic number, because the mean of its divisors is an integer number (5645904264).

Almost surely, 2^{2682687989520} is an apocalyptic number.

2682687989520 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 2682687989520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097576605120).

2682687989520 is an abundant number, since it is smaller than the sum of its proper divisors (9512465220720).

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

2682687989520 is a wasteful number, since it uses less digits than its factorization.

2682687989520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 2682687989520 in words is "two trillion, six hundred eighty-two billion, six hundred eighty-seven million, nine hundred eighty-nine thousand, five hundred twenty".