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2420521344 = 273210492003
BaseRepresentation
bin1001000001000110…
…0011100110000000
320020200122020001200
42100101203212000
514424123140334
61040104101200
7113661043353
oct22021434600
96220566050
102420521344
11103235956a
12576764800
132c7622467
1418d68229a
15e277b799
hex90463980

2420521344 has 96 divisors (see below), whose sum is σ = 6975423000. Its totient is φ = 805668864.

The previous prime is 2420521309. The next prime is 2420521349. The reversal of 2420521344 is 4431250242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420521349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1207447 + ... + 1209449.

Almost surely, 22420521344 is an apocalyptic number.

2420521344 is a gapful number since it is divisible by the number (24) 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 2420521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487711500).

2420521344 is an abundant number, since it is smaller than the sum of its proper divisors (4554901656).

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

2420521344 is a wasteful number, since it uses less digits than its factorization.

2420521344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2420521344 is about 49198.7941315638. The cubic root of 2420521344 is about 1342.6710929120.

Adding to 2420521344 its reverse (4431250242), we get a palindrome (6851771586).

The spelling of 2420521344 in words is "two billion, four hundred twenty million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1049 1152 2003 2098 3147 4006 4196 6009 6294 8012 8392 9441 12018 12588 16024 16784 18027 18882 24036 25176 32048 33568 36054 37764 48072 50352 64096 67136 72108 75528 96144 100704 128192 134272 144216 151056 192288 201408 256384 288432 302112 384576 402816 576864 604224 769152 1153728 1208448 2101147 2307456 4202294 6303441 8404588 12606882 16809176 18910323 25213764 33618352 37820646 50427528 67236704 75641292 100855056 134473408 151282584 201710112 268946816 302565168 403420224 605130336 806840448 1210260672 2420521344