2682430732800 has 2160 divisors, whose sum is σ = 12336803519040. Its totient is φ = 565963407360.

The previous prime is 2682430732763. The next prime is 2682430732859. The reversal of 2682430732800 is 82370342862.

2682430732800 is a `hidden beast` number, since 2 + 68 + 2 + 4 + 307 + 3 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 206340825594 + ... + 206340825606.

Almost surely, 2^{2682430732800} is an apocalyptic number.

2682430732800 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 2682430732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168401759520).

2682430732800 is an abundant number, since it is smaller than the sum of its proper divisors (9654372786240).

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

2682430732800 is an frugal number, since it uses more digits than its factorization.

2682430732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2682430732800 in words is "two trillion, six hundred eighty-two billion, four hundred thirty million, seven hundred thirty-two thousand, eight hundred".