2684793600 has 270 divisors, whose sum is σ = 9928821980. Its totient is φ = 715806720.

The previous prime is 2684793583. The next prime is 2684793607. The reversal of 2684793600 is 63974862.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2684793607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 515811 + ... + 520989.

Almost surely, 2^2684793600 is an apocalyptic number.

2684793600 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 2684793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964410990).

2684793600 is an abundant number, since it is smaller than the sum of its proper divisors (7244028380).

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

2684793600 is an equidigital number, since it uses as much as digits as its factorization.

2684793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2684793600 is about 51814.9939689276. The cubic root of 2684793600 is about 1389.8575842220.

The spelling of 2684793600 in words is "two billion, six hundred eighty-four million, seven hundred ninety-three thousand, six hundred".