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2081612280 = 2335116723537
BaseRepresentation
bin111110000010010…
…1110000111111000
312101001220212020010
41330010232013320
513230343043110
6542320101520
7102404261316
oct17404560770
95331825203
102081612280
1197901a130
124a11648a0
13272350557
1415a6610b6
15c2b34020
hex7c12e1f8

2081612280 has 128 divisors (see below), whose sum is σ = 6914522880. Its totient is φ = 497080320.

The previous prime is 2081612191. The next prime is 2081612287. The reversal of 2081612280 is 822161802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081612287) 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, 76672 + ... + 100208.

It is an arithmetic number, because the mean of its divisors is an integer number (54019710).

Almost surely, 22081612280 is an apocalyptic number.

2081612280 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 2081612280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457261440).

2081612280 is an abundant number, since it is smaller than the sum of its proper divisors (4832910600).

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

2081612280 is a wasteful number, since it uses less digits than its factorization.

2081612280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23629 (or 23625 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2081612280 is about 45624.6893688056. The cubic root of 2081612280 is about 1276.8305945914.

The spelling of 2081612280 in words is "two billion, eighty-one million, six hundred twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 165 201 220 264 268 330 335 402 440 536 660 670 737 804 1005 1320 1340 1474 1608 2010 2211 2680 2948 3685 4020 4422 5896 7370 8040 8844 11055 14740 17688 22110 23537 29480 44220 47074 70611 88440 94148 117685 141222 188296 235370 258907 282444 353055 470740 517814 564888 706110 776721 941480 1035628 1294535 1412220 1553442 1576979 2071256 2589070 2824440 3106884 3153958 3883605 4730937 5178140 6213768 6307916 7767210 7884895 9461874 10356280 12615832 15534420 15769790 17346769 18923748 23654685 31068840 31539580 34693538 37847496 47309370 52040307 63079160 69387076 86733845 94618740 104080614 138774152 173467690 189237480 208161228 260201535 346935380 416322456 520403070 693870760 1040806140 2081612280