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2690910640 = 245117938707
BaseRepresentation
bin1010000001100100…
…0000100110110000
320221112102102110001
42200121000212300
521002333120030
61123003315344
7123453235345
oct24031004660
96845372401
102690910640
111160a48aa0
1263121bb54
1333b653522
141b75487cc
1510b38bcca
hexa06409b0

2690910640 has 80 divisors (see below), whose sum is σ = 6911700480. Its totient is φ = 966101760.

The previous prime is 2690910623. The next prime is 2690910653. The reversal of 2690910640 is 460190962.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2690910640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50167 + ... + 88873.

It is an arithmetic number, because the mean of its divisors is an integer number (86396256).

Almost surely, 22690910640 is an apocalyptic number.

2690910640 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 2690910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455850240).

2690910640 is an abundant number, since it is smaller than the sum of its proper divisors (4220789840).

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

2690910640 is a wasteful number, since it uses less digits than its factorization.

2690910640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38810 (or 38804 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 2690910640 is about 51873.9880865160. The cubic root of 2690910640 is about 1390.9123351653.

The spelling of 2690910640 in words is "two billion, six hundred ninety million, nine hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 158 176 220 316 395 440 632 790 869 880 1264 1580 1738 3160 3476 4345 6320 6952 8690 13904 17380 34760 38707 69520 77414 154828 193535 309656 387070 425777 619312 774140 851554 1548280 1703108 2128885 3057853 3096560 3406216 4257770 6115706 6812432 8515540 12231412 15289265 17031080 24462824 30578530 33636383 34062160 48925648 61157060 67272766 122314120 134545532 168181915 244628240 269091064 336363830 538182128 672727660 1345455320 2690910640