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2002444664 = 2311291993943
BaseRepresentation
bin111011101011010…
…1110000101111000
312011112221201200012
41313112232011320
513100111212124
6530411201052
7100423333043
oct16726560570
95145851605
102002444664
11938367350
1247a746188
1325bb21ccc
1414dd33c5a
15babe6e0e
hex775ae178

2002444664 has 64 divisors (see below), whose sum is σ = 4259520000. Its totient is φ = 874177920.

The previous prime is 2002444657. The next prime is 2002444667. The reversal of 2002444664 is 4664442002.

It is a self number, because there is not a number n which added to its sum of digits gives 2002444664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002444667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505877 + ... + 509819.

It is an arithmetic number, because the mean of its divisors is an integer number (66555000).

Almost surely, 22002444664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002444664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129760000).

2002444664 is an abundant number, since it is smaller than the sum of its proper divisors (2257075336).

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

2002444664 is a wasteful number, since it uses less digits than its factorization.

2002444664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2002444664 is about 44748.6833772794. The cubic root of 2002444664 is about 1260.4341881488.

Adding to 2002444664 its reverse (4664442002), we get a palindrome (6666886666).

The spelling of 2002444664 in words is "two billion, two million, four hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 199 232 319 398 638 796 1276 1592 2189 2552 3943 4378 5771 7886 8756 11542 15772 17512 23084 31544 43373 46168 63481 86746 114347 126962 173492 228694 253924 346984 457388 507848 784657 914776 1257817 1569314 2515634 3138628 5031268 6277256 8631227 10062536 17262454 22755053 34524908 45510106 69049816 91020212 182040424 250305583 500611166 1001222332 2002444664