2082428280000 has 420 divisors, whose sum is σ = 7783067408688. Its totient is φ = 531168000000.

The previous prime is 2082428279969. The next prime is 2082428280011. The reversal of 2082428280000 is 828242802.

2082428280000 is a `hidden beast` number, since 208 + 2 + 428 + 28 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8154250 + ... + 8405750.

Almost surely, 2^{2082428280000} is an apocalyptic number.

2082428280000 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 2082428280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891533704344).

2082428280000 is an abundant number, since it is smaller than the sum of its proper divisors (5700639128688).

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

2082428280000 is a wasteful number, since it uses less digits than its factorization.

2082428280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251562 (or 251534 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 2082428280000 in words is "two trillion, eighty-two billion, four hundred twenty-eight million, two hundred eighty thousand".