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2575458340 = 2257134332909
BaseRepresentation
bin1001100110000010…
…0110000000100100
320122111011211122221
42121200212000210
520233304131330
61103321002124
7120552014620
oct23140460044
96574154587
102575458340
111101862a74
125ba623344
1332075c560
141a6094180
15101183b7a
hex99826024

2575458340 has 96 divisors (see below), whose sum is σ = 6811580160. Its totient is φ = 796110336.

The previous prime is 2575458313. The next prime is 2575458343. The reversal of 2575458340 is 438545752.

It is a super-2 number, since 2×25754583402 = 13265971322151111200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (2575458343) 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, 61806 + ... + 94714.

It is an arithmetic number, because the mean of its divisors is an integer number (70953960).

Almost surely, 22575458340 is an apocalyptic number.

2575458340 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 2575458340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405790080).

2575458340 is an abundant number, since it is smaller than the sum of its proper divisors (4236121820).

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

2575458340 is a wasteful number, since it uses less digits than its factorization.

2575458340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32981 (or 32979 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 43.

The square root of 2575458340 is about 50748.9737827279. The cubic root of 2575458340 is about 1370.7287117264.

The spelling of 2575458340 in words is "two billion, five hundred seventy-five million, four hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 172 182 215 260 301 364 430 455 559 602 860 910 1118 1204 1505 1820 2236 2795 3010 3913 5590 6020 7826 11180 15652 19565 32909 39130 65818 78260 131636 164545 230363 329090 427817 460726 658180 855634 921452 1151815 1415087 1711268 2139085 2303630 2830174 2994719 4278170 4607260 5660348 5989438 7075435 8556340 9905609 11978876 14150870 14973595 18396131 19811218 28301740 29947190 36792262 39622436 49528045 59894380 73584524 91980655 99056090 128772917 183961310 198112180 257545834 367922620 515091668 643864585 1287729170 2575458340