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2489974784 = 217112157
BaseRepresentation
bin1001010001101010…
…0000000000000000
320102112022211021022
42110122200000000
520044413143114
61051024445012
7115463302463
oct22432400000
96375284238
102489974784
111068586a00
12595a79768
13308b2c27b
141989a12da
15e88ea48e
hex946a0000

2489974784 has 108 divisors (see below), whose sum is σ = 5508673002. Its totient is φ = 1124597760.

The previous prime is 2489974759. The next prime is 2489974787. The reversal of 2489974784 is 4874799842.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2291728384 + 198246400 = 47872^2 + 14080^2 .

It is a super-3 number, since 3×24899747843 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2489974787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15859634 + ... + 15859790.

Almost surely, 22489974784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2489974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754336501).

2489974784 is an abundant number, since it is smaller than the sum of its proper divisors (3018698218).

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

2489974784 is an frugal number, since it uses more digits than its factorization.

2489974784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 170 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 62.

The square root of 2489974784 is about 49899.6471330209. The cubic root of 2489974784 is about 1355.3922030198.

The spelling of 2489974784 in words is "two billion, four hundred eighty-nine million, nine hundred seventy-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 157 176 242 256 314 352 484 512 628 704 968 1024 1256 1408 1727 1936 2048 2512 2816 3454 3872 4096 5024 5632 6908 7744 8192 10048 11264 13816 15488 16384 18997 20096 22528 27632 30976 32768 37994 40192 45056 55264 61952 65536 75988 80384 90112 110528 123904 131072 151976 160768 180224 221056 247808 303952 321536 360448 442112 495616 607904 643072 720896 884224 991232 1215808 1286144 1441792 1768448 1982464 2431616 2572288 3536896 3964928 4863232 5144576 7073792 7929856 9726464 10289152 14147584 15859712 19452928 20578304 28295168 38905856 56590336 77811712 113180672 155623424 226361344 311246848 622493696 1244987392 2489974784