2680816435200 has 1008 divisors, whose sum is σ = 10118920599585. Its totient is φ = 704214466560.

The previous prime is 2680816435183. The next prime is 2680816435211. The reversal of 2680816435200 is 25346180862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2680816435200 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 8 + 1 + 6 + 435 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2627200106496 + 53616328704 = 1620864^2 + 231552^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1157760.

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 62 ways as a sum of consecutive naturals, for example, 40012185567 + ... + 40012185633.

Almost surely, 2^{2680816435200} is an apocalyptic number.

2680816435200 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 2680816435200

2680816435200 is an abundant number, since it is smaller than the sum of its proper divisors (7438104164385).

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

2680816435200 is an frugal number, since it uses more digits than its factorization.

2680816435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2680816435200 in words is "two trillion, six hundred eighty billion, eight hundred sixteen million, four hundred thirty-five thousand, two hundred".