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2042530240 = 265371671033
BaseRepresentation
bin111100110111110…
…1000100111000000
312021100101021202011
41321233220213000
513140341431430
6534402302304
7101421135442
oct17157504700
95240337664
102042530240
11958a56223
12490057994
1326721879a
141553aa492
15be4b422a
hex79be89c0

2042530240 has 112 divisors (see below), whose sum is σ = 5030004672. Its totient is φ = 789405696.

The previous prime is 2042530223. The next prime is 2042530241. The reversal of 2042530240 is 420352402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042530241) 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, 1976764 + ... + 1977796.

It is an arithmetic number, because the mean of its divisors is an integer number (44910756).

Almost surely, 22042530240 is an apocalyptic number.

2042530240 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 2042530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515002336).

2042530240 is an abundant number, since it is smaller than the sum of its proper divisors (2987474432).

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

2042530240 is a wasteful number, since it uses less digits than its factorization.

2042530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2042530240 is about 45194.3607101594. The cubic root of 2042530240 is about 1268.7892733279.

Adding to 2042530240 its reverse (420352402), we get a palindrome (2462882642).

The spelling of 2042530240 in words is "two billion, forty-two million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 167 185 296 320 334 370 592 668 740 835 1033 1184 1336 1480 1670 2066 2368 2672 2960 3340 4132 5165 5344 5920 6179 6680 8264 10330 10688 11840 12358 13360 16528 20660 24716 26720 30895 33056 38221 41320 49432 53440 61790 66112 76442 82640 98864 123580 152884 165280 172511 191105 197728 247160 305768 330560 345022 382210 395456 494320 611536 690044 764420 862555 988640 1223072 1380088 1528840 1725110 1977280 2446144 2760176 3057680 3450220 5520352 6115360 6382907 6900440 11040704 12230720 12765814 13800880 25531628 27601760 31914535 51063256 55203520 63829070 102126512 127658140 204253024 255316280 408506048 510632560 1021265120 2042530240