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2442621620 = 2252340912983
BaseRepresentation
bin1001000110010111…
…0111001010110100
320022020020000221102
42101211313022310
520000302342440
61042213505232
7114346640555
oct22145671264
96266200842
102442621620
11104388385a
12582042218
132cc08c84a
1419259632c
15e4694b15
hex919772b4

2442621620 has 48 divisors (see below), whose sum is σ = 5366027520. Its totient is φ = 932211456.

The previous prime is 2442621593. The next prime is 2442621641. The reversal of 2442621620 is 261262442.

2442621620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181649 + ... + 194631.

It is an arithmetic number, because the mean of its divisors is an integer number (111792240).

Almost surely, 22442621620 is an apocalyptic number.

2442621620 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 2442621620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683013760).

2442621620 is an abundant number, since it is smaller than the sum of its proper divisors (2923405900).

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

2442621620 is a wasteful number, since it uses less digits than its factorization.

2442621620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13424 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2442621620 is about 49422.8855895728. The cubic root of 2442621620 is about 1346.7450840143.

The spelling of 2442621620 in words is "two billion, four hundred forty-two million, six hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 409 460 818 1636 2045 4090 8180 9407 12983 18814 25966 37628 47035 51932 64915 94070 129830 188140 259660 298609 597218 1194436 1493045 2986090 5310047 5972180 10620094 21240188 26550235 53100470 106200940 122131081 244262162 488524324 610655405 1221310810 2442621620