2686598640 has 240 divisors, whose sum is σ = 9923936256. Its totient is φ = 645926400.

The previous prime is 2686598611. The next prime is 2686598641. The reversal of 2686598640 is 468956862.

It is a happy number.

2686598640 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 598 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686598641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1004505 + ... + 1007175.

Almost surely, 2^2686598640 is an apocalyptic number.

2686598640 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 2686598640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961968128).

2686598640 is an abundant number, since it is smaller than the sum of its proper divisors (7237337616).

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

2686598640 is a wasteful number, since it uses less digits than its factorization.

2686598640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2686598640 is about 51832.4091664665. The cubic root of 2686598640 is about 1390.1689907197.

The spelling of 2686598640 in words is "two billion, six hundred eighty-six million, five hundred ninety-eight thousand, six hundred forty".