2680406208000 has 640 divisors, whose sum is σ = 9919990080000. Its totient is φ = 713467699200.

The previous prime is 2680406207989. The next prime is 2680406208001. The reversal of 2680406208000 is 8026040862.

2680406208000 is a `hidden beast` number, since 26 + 8 + 0 + 4 + 0 + 620 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (2680406208001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1276990951 + ... + 1276993049.

It is an arithmetic number, because the mean of its divisors is an integer number (15499984500).

Almost surely, 2^{2680406208000} is an apocalyptic number.

2680406208000 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 2680406208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959995040000).

2680406208000 is an abundant number, since it is smaller than the sum of its proper divisors (7239583872000).

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

2680406208000 is an equidigital number, since it uses as much as digits as its factorization.

2680406208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2848 counting only the distinct ones).

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

It can be divided in two parts, 2680406 and 208000, that added together give a triangular number (2888406 = T₂₄₀₃).

The spelling of 2680406208000 in words is "two trillion, six hundred eighty billion, four hundred six million, two hundred eight thousand".