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2670058220 = 2251973101953
BaseRepresentation
bin1001111100100101…
…1101101011101100
320220002012000022012
42133021131223230
520432013330340
61120540340352
7123111056204
oct23711355354
96802160265
102670058220
1111501a6295
126262446b8
1333723210b
141b487b404
1510961d565
hex9f25daec

2670058220 has 96 divisors (see below), whose sum is σ = 6048665280. Its totient is φ = 987033600.

The previous prime is 2670058189. The next prime is 2670058229. The reversal of 2670058220 is 228500762.

It is not an unprimeable number, because it can be changed into a prime (2670058229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2801264 + ... + 2802216.

It is an arithmetic number, because the mean of its divisors is an integer number (63006930).

Almost surely, 22670058220 is an apocalyptic number.

2670058220 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 2670058220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024332640).

2670058220 is an abundant number, since it is smaller than the sum of its proper divisors (3378607060).

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

2670058220 is a wasteful number, since it uses less digits than its factorization.

2670058220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2670058220 is about 51672.6060887198. The cubic root of 2670058220 is about 1387.3101925787.

Adding to 2670058220 its reverse (228500762), we get a palindrome (2898558982).

The spelling of 2670058220 in words is "two billion, six hundred seventy million, fifty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 101 146 190 202 292 365 380 404 505 730 953 1010 1387 1460 1906 1919 2020 2774 3812 3838 4765 5548 6935 7373 7676 9530 9595 13870 14746 18107 19060 19190 27740 29492 36214 36865 38380 69569 72428 73730 90535 96253 139138 140087 147460 181070 192506 278276 280174 347845 362140 385012 481265 560348 695690 700435 962530 1321811 1391380 1400870 1828807 1925060 2643622 2801740 3657614 5287244 6609055 7026469 7315228 9144035 13218110 14052938 18288070 26436220 28105876 35132345 36576140 70264690 133502911 140529380 267005822 534011644 667514555 1335029110 2670058220