221741256780 has 336 divisors, whose sum is σ = 759244842720. Its totient is φ = 54146340864.

The previous prime is 221741256739. The next prime is 221741256787. The reversal of 221741256780 is 87652147122.

221741256780 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 4 + 1 + 2 + 567 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (221741256787) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9158731 + ... + 9182909.

It is an arithmetic number, because the mean of its divisors is an integer number (2259657270).

Almost surely, 2^221741256780 is an apocalyptic number.

221741256780 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 221741256780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379622421360).

221741256780 is an abundant number, since it is smaller than the sum of its proper divisors (537503585940).

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

221741256780 is a wasteful number, since it uses less digits than its factorization.

221741256780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24260 (or 24243 counting only the distinct ones).

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

The spelling of 221741256780 in words is "two hundred twenty-one billion, seven hundred forty-one million, two hundred fifty-six thousand, seven hundred eighty".