2102056621440 has 256 divisors, whose sum is σ = 6927613560000. Its totient is φ = 541735354368.

The previous prime is 2102056621433. The next prime is 2102056621471. The reversal of 2102056621440 is 441266502012.

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, 10485666 + ... + 10684254.

Almost surely, 2^{2102056621440} is an apocalyptic number.

2102056621440 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 2102056621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463806780000).

2102056621440 is an abundant number, since it is smaller than the sum of its proper divisors (4825556938560).

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

2102056621440 is a wasteful number, since it uses less digits than its factorization.

2102056621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198797 (or 198785 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 2102056621440 in words is "two trillion, one hundred two billion, fifty-six million, six hundred twenty-one thousand, four hundred forty".