2686706400 has 432 divisors, whose sum is σ = 10572073344. Its totient is φ = 580469760.

The previous prime is 2686706371. The next prime is 2686706441. The reversal of 2686706400 is 46076862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6064579 + ... + 6065021.

It is an arithmetic number, because the mean of its divisors is an integer number (24472392).

Almost surely, 2^2686706400 is an apocalyptic number.

2686706400 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 2686706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286036672).

2686706400 is an abundant number, since it is smaller than the sum of its proper divisors (7885366944).

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

2686706400 is a wasteful number, since it uses less digits than its factorization.

2686706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2686706400 is about 51833.4486601075. The cubic root of 2686706400 is about 1390.1875771218.

The spelling of 2686706400 in words is "two billion, six hundred eighty-six million, seven hundred six thousand, four hundred".