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2440509696 = 2833714973
BaseRepresentation
bin1001000101110111…
…0011100100000000
320022002020201221000
42101131303210000
514444232302241
61042100332000
7114322663422
oct22135634400
96262221830
102440509696
111042671069
125813a4000
132cb8004a1
141921a6812
15e43c8eb6
hex91773900

2440509696 has 144 divisors (see below), whose sum is σ = 7320136320. Its totient is φ = 801884160.

The previous prime is 2440509683. The next prime is 2440509727. The reversal of 2440509696 is 6969050442.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488266 + ... + 493238.

It is an arithmetic number, because the mean of its divisors is an integer number (50834280).

Almost surely, 22440509696 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 2440509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660068160).

2440509696 is an abundant number, since it is smaller than the sum of its proper divisors (4879626624).

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

2440509696 is an equidigital number, since it uses as much as digits as its factorization.

2440509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2440509696 is about 49401.5151184657. The cubic root of 2440509696 is about 1346.3568340354.

The spelling of 2440509696 in words is "two billion, four hundred forty million, five hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 284 288 384 426 432 568 576 639 768 852 864 1136 1152 1278 1704 1728 1917 2272 2304 2556 3408 3456 3834 4544 4973 5112 6816 6912 7668 9088 9946 10224 13632 14919 15336 18176 19892 20448 27264 29838 30672 39784 40896 44757 54528 59676 61344 79568 81792 89514 119352 122688 134271 159136 163584 179028 238704 245376 268542 318272 353083 358056 477408 490752 537084 636544 706166 716112 954816 1059249 1074168 1273088 1412332 1432224 1909632 2118498 2148336 2824664 2864448 3177747 3819264 4236996 4296672 5649328 5728896 6355494 8473992 8593344 9533241 11298656 11457792 12710988 16947984 17186688 19066482 22597312 25421976 33895968 34373376 38132964 45194624 50843952 67791936 76265928 90389248 101687904 135583872 152531856 203375808 271167744 305063712 406751616 610127424 813503232 1220254848 2440509696