2101440602560 has 224 divisors, whose sum is σ = 5632359892992. Its totient is φ = 740983541760.

The previous prime is 2101440602519. The next prime is 2101440602579. The reversal of 2101440602560 is 652060441012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60356677 + ... + 60391483.

It is an arithmetic number, because the mean of its divisors is an integer number (25144463808).

Almost surely, 2^{2101440602560} is an apocalyptic number.

2101440602560 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 2101440602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816179946496).

2101440602560 is an abundant number, since it is smaller than the sum of its proper divisors (3530919290432).

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

2101440602560 is a wasteful number, since it uses less digits than its factorization.

2101440602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35491 (or 35481 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 2101440602560 in words is "two trillion, one hundred one billion, four hundred forty million, six hundred two thousand, five hundred sixty".