20241321984 has 585 divisors, whose sum is σ = 69103232253. Its totient is φ = 5900304384.

The previous prime is 20241321979. The next prime is 20241322033. The reversal of 20241321984 is 48912314202.

The square root of 20241321984 is 142272.

It is a perfect power (a square), and thus also a powerful number.

20241321984 is a `hidden beast` number, since 2 + 0 + 241 + 321 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2994278400 + 17247043584 = 54720^2 + 131328^2 .

It is a super-2 number, since 2×20241321984² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1065332727 + ... + 1065332745.

Almost surely, 2^20241321984 is an apocalyptic number.

20241321984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20241321984 is the 142272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20241321984

20241321984 is an abundant number, since it is smaller than the sum of its proper divisors (48861910269).

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

20241321984 is an equidigital number, since it uses as much as digits as its factorization.

20241321984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 20241321984 by its sum of digits (36), we get a square (728687591424 = 853632²).

20241321984 divided by its sum of digits (36) gives a square (562258944 = 23712²).

It can be divided in two parts, 20241 and 321984, that added together give a square (342225 = 585²).

The spelling of 20241321984 in words is "twenty billion, two hundred forty-one million, three hundred twenty-one thousand, nine hundred eighty-four".