2686673920 has 132 divisors (see below), whose sum is σ = 7497792540. Its totient is φ = 921059328.

The previous prime is 2686673917. The next prime is 2686673921. The reversal of 2686673920 is 293766862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1927561216 + 759112704 = 43904^2 + 27552^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2686673921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245526 + ... + 256234.

Almost surely, 2^2686673920 is an apocalyptic number.

2686673920 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 2686673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748896270).

2686673920 is an abundant number, since it is smaller than the sum of its proper divisors (4811118620).

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

2686673920 is a wasteful number, since it uses less digits than its factorization.

2686673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The square root of 2686673920 is about 51833.1353479606. The cubic root of 2686673920 is about 1390.1819750366.

The spelling of 2686673920 in words is "two billion, six hundred eighty-six million, six hundred seventy-three thousand, nine hundred twenty".