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2820373980 = 2235733791699
BaseRepresentation
bin1010100000011011…
…0111110111011100
321021120000211202120
42220012313313130
521234003431410
61143510222540
7126614532444
oct25006676734
97246024676
102820373980
111218033796
12668654a50
1335c411958
141ca809124
15117911570
hexa81b7ddc

2820373980 has 96 divisors (see below), whose sum is σ = 8031072000. Its totient is φ = 739404288.

The previous prime is 2820373961. The next prime is 2820373981. The reversal of 2820373980 is 893730282.

It is a super-2 number, since 2×28203739802 = 15909018774122080800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820373981) 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, 1659171 + ... + 1660869.

It is an arithmetic number, because the mean of its divisors is an integer number (83657000).

Almost surely, 22820373980 is an apocalyptic number.

2820373980 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 2820373980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015536000).

2820373980 is an abundant number, since it is smaller than the sum of its proper divisors (5210698020).

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

2820373980 is a wasteful number, since it uses less digits than its factorization.

2820373980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2820373980 is about 53107.1932980835. The cubic root of 2820373980 is about 1412.8700957273.

The spelling of 2820373980 in words is "two billion, eight hundred twenty million, three hundred seventy-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 379 438 730 758 876 1095 1137 1460 1516 1699 1895 2190 2274 3398 3790 4380 4548 5097 5685 6796 7580 8495 10194 11370 16990 20388 22740 25485 27667 33980 50970 55334 83001 101940 110668 124027 138335 166002 248054 276670 332004 372081 415005 496108 553340 620135 643921 744162 830010 1240270 1287842 1488324 1660020 1860405 1931763 2480540 2575684 3219605 3720810 3863526 6439210 7441620 7727052 9658815 12878420 19317630 38635260 47006233 94012466 141018699 188024932 235031165 282037398 470062330 564074796 705093495 940124660 1410186990 2820373980