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2424644240 = 245673171427
BaseRepresentation
bin1001000010000101…
…0010001010010000
320020222101200121112
42100201102022100
514431202103430
61040332312452
7114041064434
oct22041221220
96228350545
102424644240
111034715117
12578012728
132c8436c45
141900369c4
15e2ce3195
hex90852290

2424644240 has 80 divisors (see below), whose sum is σ = 5743507392. Its totient is φ = 951700992.

The previous prime is 2424644219. The next prime is 2424644251. The reversal of 2424644240 is 424464242.

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

It is a junction number, because it is equal to n+sod(n) for n = 2424644197 and 2424644206.

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, 1698407 + ... + 1699833.

Almost surely, 22424644240 is an apocalyptic number.

2424644240 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 2424644240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871753696).

2424644240 is an abundant number, since it is smaller than the sum of its proper divisors (3318863152).

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

2424644240 is a wasteful number, since it uses less digits than its factorization.

2424644240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The square root of 2424644240 is about 49240.6766809718. The cubic root of 2424644240 is about 1343.4329884521.

It can be divided in two parts, 24246 and 44240, that added together give a palindrome (68486).

The spelling of 2424644240 in words is "two billion, four hundred twenty-four million, six hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 317 335 536 634 670 1072 1268 1340 1427 1585 2536 2680 2854 3170 5072 5360 5708 6340 7135 11416 12680 14270 21239 22832 25360 28540 42478 57080 84956 95609 106195 114160 169912 191218 212390 339824 382436 424780 452359 478045 764872 849560 904718 956090 1529744 1699120 1809436 1912180 2261795 3618872 3824360 4523590 7237744 7648720 9047180 18094360 30308053 36188720 60616106 121232212 151540265 242464424 303080530 484928848 606161060 1212322120 2424644240