Search a number
-
+
2621440000 = 22254
BaseRepresentation
bin1001110001000000…
…0000000000000000
320202200200221122101
42130100000000000
520332042040000
61112042320144
7121650605134
oct23420000000
96680627571
102621440000
111125809743
12611ab9054
1332a13b93a
141ac2233c4
15105217e6a
hex9c400000

2621440000 has 115 divisors (see below), whose sum is σ = 6551502067. Its totient is φ = 1048576000.

The previous prime is 2621439983. The next prime is 2621440009. The reversal of 2621440000 is 441262.

The square root of 2621440000 is 51200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 205520896 + 2415919104 = 14336^2 + 49152^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=160.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2621440000.

It is not an unprimeable number, because it can be changed into a prime (2621440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 524287998 + ... + 524288002.

Almost surely, 22621440000 is an apocalyptic number.

2621440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2621440000 is the 51200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2621440000

2621440000 is an abundant number, since it is smaller than the sum of its proper divisors (3930062067).

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

2621440000 is an frugal number, since it uses more digits than its factorization.

2621440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 2621440000 is about 1378.8382016204.

Adding to 2621440000 its reverse (441262), we get a palindrome (2621881262).

The spelling of 2621440000 in words is "two billion, six hundred twenty-one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 8192 10000 10240 12800 16000 16384 20000 20480 25600 32000 32768 40000 40960 51200 64000 65536 80000 81920 102400 128000 131072 160000 163840 204800 256000 262144 320000 327680 409600 512000 524288 640000 655360 819200 1024000 1048576 1280000 1310720 1638400 2048000 2097152 2560000 2621440 3276800 4096000 4194304 5120000 5242880 6553600 8192000 10240000 10485760 13107200 16384000 20480000 20971520 26214400 32768000 40960000 52428800 65536000 81920000 104857600 131072000 163840000 262144000 327680000 524288000 655360000 1310720000 2621440000