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2420776740 = 22352913910009
BaseRepresentation
bin1001000001001010…
…0001111100100100
320020201010012101210
42100102201330210
514424204323430
61040113351420
7113663156064
oct22022417444
96221105353
102420776740
111032513438
12576868570
132c76b1795
1418d70b3a4
15e27cc2b0
hex904a1f24

2420776740 has 96 divisors (see below), whose sum is σ = 7063056000. Its totient is φ = 618734592.

The previous prime is 2420776691. The next prime is 2420776741. The reversal of 2420776740 is 476770242.

It is not an unprimeable number, because it can be changed into a prime (2420776741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236856 + ... + 246864.

It is an arithmetic number, because the mean of its divisors is an integer number (73573500).

Almost surely, 22420776740 is an apocalyptic number.

2420776740 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 2420776740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531528000).

2420776740 is an abundant number, since it is smaller than the sum of its proper divisors (4642279260).

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

2420776740 is a wasteful number, since it uses less digits than its factorization.

2420776740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10189 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 2420776740 is about 49201.3896145221. The cubic root of 2420776740 is about 1342.7183142496.

The spelling of 2420776740 in words is "two billion, four hundred twenty million, seven hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 139 145 174 278 290 348 417 435 556 580 695 834 870 1390 1668 1740 2085 2780 4031 4170 8062 8340 10009 12093 16124 20018 20155 24186 30027 40036 40310 48372 50045 60054 60465 80620 100090 120108 120930 150135 200180 241860 290261 300270 580522 600540 870783 1161044 1391251 1451305 1741566 2782502 2902610 3483132 4173753 4353915 5565004 5805220 6956255 8347506 8707830 13912510 16695012 17415660 20868765 27825020 40346279 41737530 80692558 83475060 121038837 161385116 201731395 242077674 403462790 484155348 605194185 806925580 1210388370 2420776740