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2104440560 = 2451371571223
BaseRepresentation
bin111110101101111…
…0011011011110000
312102122212122201222
41331123303123300
513302214044220
6544453244212
7103102310135
oct17533633360
95378778658
102104440560
1198a9a1382
124a8933668
13276cb4101
1415d6c458c
15c4b42e25
hex7d6f36f0

2104440560 has 80 divisors (see below), whose sum is σ = 4963985856. Its totient is φ = 829630464.

The previous prime is 2104440553. The next prime is 2104440577. The reversal of 2104440560 is 650444012.

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

It is a super-2 number, since 2×21044405602 = 8857340141146227200, which contains 22 as substring.

It is a congruent number.

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, 1720109 + ... + 1721331.

Almost surely, 22104440560 is an apocalyptic number.

2104440560 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 2104440560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481992928).

2104440560 is an abundant number, since it is smaller than the sum of its proper divisors (2859545296).

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

2104440560 is a wasteful number, since it uses less digits than its factorization.

2104440560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2104440560 is about 45874.1818455654. The cubic root of 2104440560 is about 1281.4811467641.

Adding to 2104440560 its reverse (650444012), we get a palindrome (2754884572).

The spelling of 2104440560 in words is "two billion, one hundred four million, four hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 157 274 314 548 628 685 785 1096 1223 1256 1370 1570 2192 2446 2512 2740 3140 4892 5480 6115 6280 9784 10960 12230 12560 19568 21509 24460 43018 48920 86036 97840 107545 167551 172072 192011 215090 335102 344144 384022 430180 670204 768044 837755 860360 960055 1340408 1536088 1675510 1720720 1920110 2680816 3072176 3351020 3840220 6702040 7680440 13404080 15360880 26305507 52611014 105222028 131527535 210444056 263055070 420888112 526110140 1052220280 2104440560