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2542110336 = 27322817853
BaseRepresentation
bin1001011110000101…
…1000011010000000
320120011102120210200
42113201120122000
520201240012321
61100130125200
7116665403253
oct22741303200
96504376720
102542110336
111094a56137
125ab420800
133168846cc
141a189309a
15ed297d26
hex97858680

2542110336 has 96 divisors (see below), whose sum is σ = 7342154820. Its totient is φ = 844247040.

The previous prime is 2542110313. The next prime is 2542110343. The reversal of 2542110336 is 6330112452.

2542110336 is a `hidden beast` number, since 2 + 542 + 110 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2408846400 + 133263936 = 49080^2 + 11544^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319786 + ... + 327638.

Almost surely, 22542110336 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 2542110336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671077410).

2542110336 is an abundant number, since it is smaller than the sum of its proper divisors (4800044484).

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

2542110336 is a wasteful number, since it uses less digits than its factorization.

2542110336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2542110336 is about 50419.3448588932. The cubic root of 2542110336 is about 1364.7867541126.

Adding to 2542110336 its reverse (6330112452), we get a palindrome (8872222788).

The spelling of 2542110336 in words is "two billion, five hundred forty-two million, one hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 281 288 384 562 576 843 1124 1152 1686 2248 2529 3372 4496 5058 6744 7853 8992 10116 13488 15706 17984 20232 23559 26976 31412 35968 40464 47118 53952 62824 70677 80928 94236 107904 125648 141354 161856 188472 251296 282708 323712 376944 502592 565416 753888 1005184 1130832 1507776 2206693 2261664 3015552 4413386 4523328 6620079 8826772 9046656 13240158 17653544 19860237 26480316 35307088 39720474 52960632 70614176 79440948 105921264 141228352 158881896 211842528 282456704 317763792 423685056 635527584 847370112 1271055168 2542110336