2101770685440 has 1584 divisors, whose sum is σ = 8267313880800. Its totient is φ = 510818254848.

The previous prime is 2101770685361. The next prime is 2101770685451. The reversal of 2101770685440 is 445860771012.

2101770685440 is a `hidden beast` number, since 21 + 0 + 17 + 70 + 6 + 8 + 544 + 0 = 666.

It is a super-3 number, since 3×2101770685440³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23615400916 + ... + 23615401004.

Almost surely, 2^{2101770685440} is an apocalyptic number.

2101770685440 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 2101770685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133656940400).

2101770685440 is an abundant number, since it is smaller than the sum of its proper divisors (6165543195360).

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

2101770685440 is an frugal number, since it uses more digits than its factorization.

2101770685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2101770685440 in words is "two trillion, one hundred one billion, seven hundred seventy million, six hundred eighty-five thousand, four hundred forty".