2686640000 has 320 divisors, whose sum is σ = 7571076480. Its totient is φ = 940800000.

The previous prime is 2686639987. The next prime is 2686640023. The reversal of 2686640000 is 466862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37839965 + ... + 37840035.

It is an arithmetic number, because the mean of its divisors is an integer number (23659614).

Almost surely, 2^2686640000 is an apocalyptic number.

2686640000 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 2686640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785538240).

2686640000 is an abundant number, since it is smaller than the sum of its proper divisors (4884436480).

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

2686640000 is an equidigital number, since it uses as much as digits as its factorization.

2686640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 2686640000 is about 51832.8081431057. The cubic root of 2686640000 is about 1390.1761245349.

It can be divided in two parts, 26866 and 40000, that added together give a palindrome (66866).

The spelling of 2686640000 in words is "two billion, six hundred eighty-six million, six hundred forty thousand".