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2694890640 = 2435134121067
BaseRepresentation
bin1010000010100000…
…1100010010010000
320221210220121222110
42200220030102100
521004343000030
61123224505320
7123532123011
oct24050142220
96853817873
102694890640
111163217252
1263261b240
1333c417c60
141b7ca3008
1510b8c61b0
hexa0a0c490

2694890640 has 160 divisors (see below), whose sum is σ = 9216660096. Its totient is φ = 647147520.

The previous prime is 2694890633. The next prime is 2694890659. The reversal of 2694890640 is 460984962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2694890640.

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, 117387 + ... + 138453.

Almost surely, 22694890640 is an apocalyptic number.

2694890640 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 2694890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608330048).

2694890640 is an abundant number, since it is smaller than the sum of its proper divisors (6521769456).

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

2694890640 is a wasteful number, since it uses less digits than its factorization.

2694890640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21137 (or 21131 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2694890640 is about 51912.3361061704. The cubic root of 2694890640 is about 1391.5977418066.

The spelling of 2694890640 in words is "two billion, six hundred ninety-four million, eight hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 41 48 52 60 65 78 80 82 104 120 123 130 156 164 195 205 208 240 246 260 312 328 390 410 492 520 533 615 624 656 780 820 984 1040 1066 1230 1560 1599 1640 1968 2132 2460 2665 3120 3198 3280 4264 4920 5330 6396 7995 8528 9840 10660 12792 15990 21067 21320 25584 31980 42134 42640 63201 63960 84268 105335 126402 127920 168536 210670 252804 273871 316005 337072 421340 505608 547742 632010 821613 842680 863747 1011216 1095484 1264020 1369355 1643226 1685360 1727494 2190968 2528040 2591241 2738710 3286452 3454988 4108065 4318735 4381936 5056080 5182482 5477420 6572904 6909976 8216130 8637470 10364964 10954840 11228711 12956205 13145808 13819952 16432260 17274940 20729928 21909680 22457422 25912410 32864520 33686133 34549880 41459856 44914844 51824820 56143555 65729040 67372266 69099760 89829688 103649640 112287110 134744532 168430665 179659376 207299280 224574220 269489064 336861330 449148440 538978128 673722660 898296880 1347445320 2694890640