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2120343440 = 245532272203
BaseRepresentation
bin111111001100001…
…1101111110010000
312110202210121101112
41332120131332100
513320301442230
6550222152452
7103354423205
oct17630357620
95422717345
102120343440
11998973456
124b2122728
1327a3916b7
14161863cac
15c6234d95
hex7e61df90

2120343440 has 80 divisors (see below), whose sum is σ = 5047230528. Its totient is φ = 828092928.

The previous prime is 2120343427. The next prime is 2120343443. The reversal of 2120343440 is 443430212.

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

It is not an unprimeable number, because it can be changed into a prime (2120343443) 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, 961379 + ... + 963581.

Almost surely, 22120343440 is an apocalyptic number.

2120343440 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 2120343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523615264).

2120343440 is an abundant number, since it is smaller than the sum of its proper divisors (2926887088).

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

2120343440 is a wasteful number, since it uses less digits than its factorization.

2120343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2120343440 is about 46047.1871019284. The cubic root of 2120343440 is about 1284.7010240763.

Adding to 2120343440 its reverse (443430212), we get a palindrome (2563773652).

The spelling of 2120343440 in words is "two billion, one hundred twenty million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 227 265 424 454 530 848 908 1060 1135 1816 2120 2203 2270 3632 4240 4406 4540 8812 9080 11015 12031 17624 18160 22030 24062 35248 44060 48124 60155 88120 96248 116759 120310 176240 192496 233518 240620 467036 481240 500081 583795 934072 962480 1000162 1167590 1868144 2000324 2335180 2500405 4000648 4670360 5000810 8001296 9340720 10001620 20003240 26504293 40006480 53008586 106017172 132521465 212034344 265042930 424068688 530085860 1060171720 2120343440