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2421010020 = 223511131914851
BaseRepresentation
bin1001000001001101…
…1010111001100100
320020201120001101210
42100103122321210
514424234310040
61040122351420
7113665150152
oct22023327144
96221501353
102421010020
111032662730
1257695b570
132c7763a10
1418d76c3d2
15e2826480
hex904dae64

2421010020 has 192 divisors, whose sum is σ = 8383656960. Its totient is φ = 513216000.

The previous prime is 2421010019. The next prime is 2421010049. The reversal of 2421010020 is 200101242.

It is a super-3 number, since 3×24210100203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2421009978 and 2421010005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155595 + ... + 170445.

It is an arithmetic number, because the mean of its divisors is an integer number (43664880).

Almost surely, 22421010020 is an apocalyptic number.

2421010020 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 2421010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191828480).

2421010020 is an abundant number, since it is smaller than the sum of its proper divisors (5962646940).

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

2421010020 is a wasteful number, since it uses less digits than its factorization.

2421010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14906 (or 14904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2421010020 is about 49203.7602221619. The cubic root of 2421010020 is about 1342.7614435563.

Adding to 2421010020 its reverse (200101242), we get a palindrome (2621111262).

The spelling of 2421010020 in words is "two billion, four hundred twenty-one million, ten thousand, twenty".