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2124423440 = 245195872381
BaseRepresentation
bin111111010100000…
…0010000100010000
312111001110220002122
41332220002010100
513322323022230
6550445433412
7103434205226
oct17650020420
95431426078
102124423440
119a01aa857
124b356b868
1327b18c7b9
14162206b16
15c678dbe5
hex7ea02110

2124423440 has 80 divisors (see below), whose sum is σ = 5210291520. Its totient is φ = 803335680.

The previous prime is 2124423409. The next prime is 2124423491. The reversal of 2124423440 is 443244212.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891050 + ... + 893430.

It is an arithmetic number, because the mean of its divisors is an integer number (65128644).

Almost surely, 22124423440 is an apocalyptic number.

2124423440 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 2124423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605145760).

2124423440 is an abundant number, since it is smaller than the sum of its proper divisors (3085868080).

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

2124423440 is a wasteful number, since it uses less digits than its factorization.

2124423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2124423440 is about 46091.4681909787. The cubic root of 2124423440 is about 1285.5245104497.

Adding to 2124423440 its reverse (443244212), we get a palindrome (2567667652).

The spelling of 2124423440 in words is "two billion, one hundred twenty-four million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 587 760 1174 1520 2348 2381 2935 4696 4762 5870 9392 9524 11153 11740 11905 19048 22306 23480 23810 38096 44612 45239 46960 47620 55765 89224 90478 95240 111530 178448 180956 190480 223060 226195 361912 446120 452390 723824 892240 904780 1397647 1809560 2795294 3619120 5590588 6988235 11181176 13976470 22362352 26555293 27952940 53110586 55905880 106221172 111811760 132776465 212442344 265552930 424884688 531105860 1062211720 2124423440