2061221722560 has 3528 divisors, whose sum is σ = 10216647289296. Its totient is φ = 391283343360.

The previous prime is 2061221722477. The next prime is 2061221722583. The reversal of 2061221722560 is 652271221602.

2061221722560 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 2 + 21 + 72 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a super-2 number, since 2×2061221722560² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 21249708432 + ... + 21249708528.

It is an arithmetic number, because the mean of its divisors is an integer number (2895875082).

Almost surely, 2^{2061221722560} is an apocalyptic number.

2061221722560 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 2061221722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108323644648).

2061221722560 is an abundant number, since it is smaller than the sum of its proper divisors (8155425566736).

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

2061221722560 is a wasteful number, since it uses less digits than its factorization.

2061221722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2061221722560 in words is "two trillion, sixty-one billion, two hundred twenty-one million, seven hundred twenty-two thousand, five hundred sixty".