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2642534874 = 23379197607
BaseRepresentation
bin1001110110000001…
…1110000111011010
320211011101200101000
42131200132013122
520402442103444
61114114405430
7122325114210
oct23540360732
96734350330
102642534874
111136707621
12618b90876
13331616505
141b0d54cb0
15106ed3469
hex9d81e1da

2642534874 has 64 divisors (see below), whose sum is σ = 6719385600. Its totient is φ = 754089264.

The previous prime is 2642534833. The next prime is 2642534879. The reversal of 2642534874 is 4784352462.

It is a happy number.

2642534874 is a `hidden beast` number, since 2 + 6 + 42 + 534 + 8 + 74 = 666.

2642534874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2642534879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343579 + ... + 351185.

It is an arithmetic number, because the mean of its divisors is an integer number (104990400).

Almost surely, 22642534874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642534874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359692800).

2642534874 is an abundant number, since it is smaller than the sum of its proper divisors (4076850726).

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

2642534874 is a wasteful number, since it uses less digits than its factorization.

2642534874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8544 (or 8538 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2642534874 is about 51405.5918553614. The cubic root of 2642534874 is about 1382.5268543017.

The spelling of 2642534874 in words is "two billion, six hundred forty-two million, five hundred thirty-four thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 919 1838 2757 5514 6433 7607 8271 12866 15214 16542 19299 22821 24813 38598 45642 49626 53249 57897 68463 106498 115794 136926 159747 173691 205389 319494 347382 410778 479241 958482 1437723 2875446 6990833 13981666 20972499 41944998 48935831 62917497 97871662 125834994 146807493 188752491 293614986 377504982 440422479 880844958 1321267437 2642534874