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2052144240 = 243571120431
BaseRepresentation
bin111101001010001…
…0011110001110000
312022000110201200020
41322110103301300
513200322103430
6535344323440
7101565636546
oct17224236160
95260421606
102052144240
11963422383
12493313580
13269203743
1415678dd96
15c0262b10
hex7a513c70

2052144240 has 80 divisors (see below), whose sum is σ = 6451301376. Its totient is φ = 539526400.

The previous prime is 2052144223. The next prime is 2052144271. The reversal of 2052144240 is 424412502.

It is a happy number.

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

It is a super-2 number, since 2×20521442402 = 8422591963530355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2052144240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43176 + ... + 77255.

Almost surely, 22052144240 is an apocalyptic number.

2052144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2052144240 is an abundant number, since it is smaller than the sum of its proper divisors (4399157136).

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

2052144240 is a wasteful number, since it uses less digits than its factorization.

2052144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120518 (or 120512 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2052144240 is about 45300.5986715408. The cubic root of 2052144240 is about 1270.7768491984.

Adding to 2052144240 its reverse (424412502), we get a palindrome (2476556742).

The spelling of 2052144240 in words is "two billion, fifty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 120431 240862 361293 481724 602155 722586 963448 1204310 1445172 1806465 1926896 2408620 2890344 3612930 4817240 5780688 7225860 8550601 9634480 14451720 17101202 25651803 28903440 34202404 42753005 51303606 68404808 85506010 102607212 128259015 136809616 171012020 205214424 256518030 342024040 410428848 513036060 684048080 1026072120 2052144240