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2440145360 = 245671373323
BaseRepresentation
bin1001000101110001…
…1010100111010000
320022001120020011002
42101130122213100
514444134122420
61042044441132
7114316615262
oct22134324720
96261506132
102440145360
111042442364
125812491a8
132cb7036c3
1419210db32
15e4356075
hex9171a9d0

2440145360 has 80 divisors (see below), whose sum is σ = 5801789376. Its totient is φ = 954184704.

The previous prime is 2440145341. The next prime is 2440145399. The reversal of 2440145360 is 635410442.

It is a tau number, because it is divible by the number of its divisors (80).

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, 732659 + ... + 735981.

Almost surely, 22440145360 is an apocalyptic number.

2440145360 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 2440145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900894688).

2440145360 is an abundant number, since it is smaller than the sum of its proper divisors (3361644016).

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

2440145360 is a wasteful number, since it uses less digits than its factorization.

2440145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2440145360 is about 49397.8274825928. The cubic root of 2440145360 is about 1346.2898329118.

The spelling of 2440145360 in words is "two billion, four hundred forty million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 137 268 274 335 536 548 670 685 1072 1096 1340 1370 2192 2680 2740 3323 5360 5480 6646 9179 10960 13292 16615 18358 26584 33230 36716 45895 53168 66460 73432 91790 132920 146864 183580 222641 265840 367160 445282 455251 734320 890564 910502 1113205 1781128 1821004 2226410 2276255 3562256 3642008 4452820 4552510 7284016 8905640 9105020 17811280 18210040 30501817 36420080 61003634 122007268 152509085 244014536 305018170 488029072 610036340 1220072680 2440145360