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2423480880 = 243517358369
BaseRepresentation
bin1001000001110011…
…0110001000110000
320020220012120210010
42100130312020300
514430402342010
61040251334520
7114025150632
oct22034661060
96226176703
102423480880
111033aa0067
12577751440
132c811a572
1418dc12a52
15e2b63620
hex90736230

2423480880 has 80 divisors (see below), whose sum is σ = 7556346720. Its totient is φ = 642514944.

The previous prime is 2423480833. The next prime is 2423480909. The reversal of 2423480880 is 880843242.

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

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, 12336 + ... + 70704.

It is an arithmetic number, because the mean of its divisors is an integer number (94454334).

Almost surely, 22423480880 is an apocalyptic number.

2423480880 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 2423480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778173360).

2423480880 is an abundant number, since it is smaller than the sum of its proper divisors (5132865840).

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

2423480880 is a wasteful number, since it uses less digits than its factorization.

2423480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58558 (or 58552 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 2423480880 is about 49228.8622659513. The cubic root of 2423480880 is about 1343.2180914643.

The spelling of 2423480880 in words is "two billion, four hundred twenty-three million, four hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 346 519 692 865 1038 1384 1730 2076 2595 2768 3460 4152 5190 6920 8304 10380 13840 20760 41520 58369 116738 175107 233476 291845 350214 466952 583690 700428 875535 933904 1167380 1400856 1751070 2334760 2801712 3502140 4669520 7004280 10097837 14008560 20195674 30293511 40391348 50489185 60587022 80782696 100978370 121174044 151467555 161565392 201956740 242348088 302935110 403913480 484696176 605870220 807826960 1211740440 2423480880