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2648228080 = 245101487673
BaseRepresentation
bin1001110111011000…
…1100000011110000
320211120002220222111
42131312030003300
520410421244310
61114440415104
7122424365401
oct23566140360
96746086874
102648228080
111139945a53
1261aa77494
1333285a984
141b19d79a8
1510775a28a
hex9dd8c0f0

2648228080 has 80 divisors (see below), whose sum is σ = 6240118464. Its totient is φ = 1045094400.

The previous prime is 2648228029. The next prime is 2648228083. The reversal of 2648228080 is 808228462.

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

It is a super-2 number, since 2×26482280802 = 14026223927400972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648228083) 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, 3934624 + ... + 3935296.

Almost surely, 22648228080 is an apocalyptic number.

2648228080 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 2648228080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120059232).

2648228080 is an abundant number, since it is smaller than the sum of its proper divisors (3591890384).

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

2648228080 is a wasteful number, since it uses less digits than its factorization.

2648228080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 2648228080 is about 51460.9374185896. The cubic root of 2648228080 is about 1383.5190032231.

The spelling of 2648228080 in words is "two billion, six hundred forty-eight million, two hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 487 505 673 808 974 1010 1346 1616 1948 2020 2435 2692 3365 3896 4040 4870 5384 6730 7792 8080 9740 10768 13460 19480 26920 38960 49187 53840 67973 98374 135946 196748 245935 271892 327751 339865 393496 491870 543784 655502 679730 786992 983740 1087568 1311004 1359460 1638755 1967480 2622008 2718920 3277510 3934960 5244016 5437840 6555020 13110040 26220080 33102851 66205702 132411404 165514255 264822808 331028510 529645616 662057020 1324114040 2648228080