2684260800 has 378 divisors, whose sum is σ = 10340199792. Its totient is φ = 660142080.

The previous prime is 2684260783. The next prime is 2684260801. The reversal of 2684260800 is 80624862.

2684260800 is a `hidden beast` number, since 2 + 6 + 8 + 42 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684260801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2433049 + ... + 2434151.

Almost surely, 2^2684260800 is an apocalyptic number.

2684260800 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 2684260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170099896).

2684260800 is an abundant number, since it is smaller than the sum of its proper divisors (7655938992).

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

2684260800 is a wasteful number, since it uses less digits than its factorization.

2684260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2684260800 is about 51809.8523448967. The cubic root of 2684260800 is about 1389.7656385926.

The spelling of 2684260800 in words is "two billion, six hundred eighty-four million, two hundred sixty thousand, eight hundred".