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2681380464 = 2437311272027
BaseRepresentation
bin1001111111010010…
…1001111001110000
320220212111020111120
42133310221321300
520442413133324
61122023142240
7123306233520
oct23764517160
96825436446
102681380464
111156629914
12629ba4980
13339697779
141b6187680
1510a608179
hex9fd29e70

2681380464 has 160 divisors (see below), whose sum is σ = 8240234496. Its totient is φ = 735194880.

The previous prime is 2681380451. The next prime is 2681380483. The reversal of 2681380464 is 4640831862.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321819 + ... + 1323845.

Almost surely, 22681380464 is an apocalyptic number.

2681380464 is a gapful number since it is divisible by the number (24) 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 2681380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120117248).

2681380464 is an abundant number, since it is smaller than the sum of its proper divisors (5558854032).

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

2681380464 is a wasteful number, since it uses less digits than its factorization.

2681380464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2681380464 is about 51782.0476999510. The cubic root of 2681380464 is about 1389.2683664134.

The spelling of 2681380464 in words is "two billion, six hundred eighty-one million, three hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 127 168 186 217 248 254 336 372 381 434 496 508 651 744 762 868 889 1016 1302 1488 1524 1736 1778 2027 2032 2604 2667 3048 3472 3556 3937 4054 5208 5334 6081 6096 7112 7874 8108 10416 10668 11811 12162 14189 14224 15748 16216 21336 23622 24324 27559 28378 31496 32432 42567 42672 47244 48648 55118 56756 62837 62992 82677 85134 94488 97296 110236 113512 125674 165354 170268 188511 188976 220472 227024 251348 257429 330708 340536 377022 439859 440944 502696 514858 661416 681072 754044 772287 879718 1005392 1029716 1319577 1322832 1508088 1544574 1759436 1802003 2059432 2639154 3016176 3089148 3518872 3604006 4118864 5278308 5406009 6178296 7037744 7208012 7980299 10556616 10812018 12356592 14416024 15960598 21113232 21624036 23940897 28832048 31921196 43248072 47881794 55862093 63842392 86496144 95763588 111724186 127684784 167586279 191527176 223448372 335172558 383054352 446896744 670345116 893793488 1340690232 2681380464