2686192640 has 176 divisors, whose sum is σ = 6924100320. Its totient is φ = 996802560.

The previous prime is 2686192631. The next prime is 2686192679. The reversal of 2686192640 is 462916862.

It is a junction number, because it is equal to n+sod(n) for n = 2686192591 and 2686192600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5155580 + ... + 5156100.

Almost surely, 2^2686192640 is an apocalyptic number.

2686192640 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 2686192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462050160).

2686192640 is an abundant number, since it is smaller than the sum of its proper divisors (4237907680).

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

2686192640 is a wasteful number, since it uses less digits than its factorization.

2686192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 2686192640 is about 51828.4925499479. The cubic root of 2686192640 is about 1390.0989595366.

The spelling of 2686192640 in words is "two billion, six hundred eighty-six million, one hundred ninety-two thousand, six hundred forty".