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2421975816 = 2334131072687
BaseRepresentation
bin1001000001011100…
…0110101100001000
320020210101010020000
42100113012230020
514430011211231
61040155203000
7114006311661
oct22027065410
96223333200
102421975816
111033162307
12577146460
132c7a114b0
1418d940368
15e29676e6
hex905c6b08

2421975816 has 160 divisors (see below), whose sum is σ = 7376624640. Its totient is φ = 737983872.

The previous prime is 2421975799. The next prime is 2421975833. The reversal of 2421975816 is 6185791242.

It is an interprime number because it is at equal distance from previous prime (2421975799) and next prime (2421975833).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 900025 + ... + 902711.

It is an arithmetic number, because the mean of its divisors is an integer number (46103904).

Almost surely, 22421975816 is an apocalyptic number.

2421975816 is a gapful number since it is divisible by the number (26) 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 2421975816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688312320).

2421975816 is an abundant number, since it is smaller than the sum of its proper divisors (4954648824).

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

2421975816 is a wasteful number, since it uses less digits than its factorization.

2421975816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2812 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2421975816 is about 49213.5734934987. The cubic root of 2421975816 is about 1342.9399725191.

The spelling of 2421975816 in words is "two billion, four hundred twenty-one million, nine hundred seventy-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 107 108 117 156 162 214 216 234 312 321 324 351 428 468 642 648 702 856 936 963 1053 1284 1391 1404 1926 2106 2568 2687 2782 2808 2889 3852 4173 4212 5374 5564 5778 7704 8061 8346 8424 8667 10748 11128 11556 12519 16122 16692 17334 21496 23112 24183 25038 32244 33384 34668 34931 37557 48366 50076 64488 69336 69862 72549 75114 96732 100152 104793 112671 139724 145098 150228 193464 209586 217647 225342 279448 287509 290196 300456 314379 419172 435294 450684 575018 580392 628758 838344 862527 870588 901368 943137 1150036 1257516 1725054 1741176 1886274 2300072 2515032 2587581 2829411 3450108 3737617 3772548 5175162 5658822 6900216 7475234 7545096 7762743 10350324 11212851 11317644 14950468 15525486 20700648 22425702 22635288 23288229 29900936 31050972 33638553 44851404 46576458 62101944 67277106 89702808 93152916 100915659 134554212 186305832 201831318 269108424 302746977 403662636 605493954 807325272 1210987908 2421975816