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2890245560 = 2352913191889
BaseRepresentation
bin1010110001000101…
…1010010110111000
321110102111200112212
42230101122112320
521404400324220
61154443554252
7131423452616
oct25421322670
97412450485
102890245560
1112535172a4
12687b2b988
13370a36b97
141d5bd66b6
1511db140c5
hexac45a5b8

2890245560 has 64 divisors (see below), whose sum is σ = 6735960000. Its totient is φ = 1114796032.

The previous prime is 2890245557. The next prime is 2890245563. The reversal of 2890245560 is 655420982.

It is an interprime number because it is at equal distance from previous prime (2890245557) and next prime (2890245563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890245563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529096 + ... + 1530984.

It is an arithmetic number, because the mean of its divisors is an integer number (105249375).

Almost surely, 22890245560 is an apocalyptic number.

2890245560 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 2890245560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367980000).

2890245560 is an abundant number, since it is smaller than the sum of its proper divisors (3845714440).

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

2890245560 is a wasteful number, since it uses less digits than its factorization.

2890245560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 2890245560 is about 53761.0040828852. The cubic root of 2890245560 is about 1424.4424715446.

The spelling of 2890245560 in words is "two billion, eight hundred ninety million, two hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1319 1889 2638 3778 5276 6595 7556 9445 10552 13190 15112 18890 26380 37780 38251 52760 54781 75560 76502 109562 153004 191255 219124 273905 306008 382510 438248 547810 765020 1095620 1530040 2191240 2491591 4983182 9966364 12457955 19932728 24915910 49831820 72256139 99663640 144512278 289024556 361280695 578049112 722561390 1445122780 2890245560