2684768800 has 108 divisors (see below), whose sum is σ = 7624375290. Its totient is φ = 920478720.

The previous prime is 2684768789. The next prime is 2684768833. The reversal of 2684768800 is 88674862.

It can be written as a sum of positive squares in 3 ways, for example, as 2065157136 + 619611664 = 45444^2 + 24892^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4956 + ... + 73444.

Almost surely, 2^2684768800 is an apocalyptic number.

2684768800 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 2684768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812187645).

2684768800 is an abundant number, since it is smaller than the sum of its proper divisors (4939606490).

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

2684768800 is a wasteful number, since it uses less digits than its factorization.

2684768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68523 (or 68503 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The square root of 2684768800 is about 51814.7546554068. The cubic root of 2684768800 is about 1389.8533047404.

The spelling of 2684768800 in words is "two billion, six hundred eighty-four million, seven hundred sixty-eight thousand, eight hundred".