1962028820960 has 192 divisors, whose sum is σ = 5187179450880. Its totient is φ = 696319303680.

The previous prime is 1962028820903. The next prime is 1962028820981. The reversal of 1962028820960 is 690288202691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13378430 + ... + 13524290.

It is an arithmetic number, because the mean of its divisors is an integer number (27016559640).

Almost surely, 2^{1962028820960} is an apocalyptic number.

1962028820960 is a gapful number since it is divisible by the number (10) 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 1962028820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593589725440).

1962028820960 is an abundant number, since it is smaller than the sum of its proper divisors (3225150629920).

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

1962028820960 is a wasteful number, since it uses less digits than its factorization.

1962028820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146141 (or 146133 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 1962028820960 in words is "one trillion, nine hundred sixty-two billion, twenty-eight million, eight hundred twenty thousand, nine hundred sixty".