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2401089684 = 2237299291061
BaseRepresentation
bin1000111100011101…
…1011100010010100
320012100001222211120
42033013123202110
514404134332214
61034131403540
7113333632320
oct21707334224
96170058746
102401089684
111022397244
125701535b0
132c35aa936
1418ac64980
15e0bddea9
hex8f1db894

2401089684 has 96 divisors (see below), whose sum is σ = 6637075200. Its totient is φ = 661032960.

The previous prime is 2401089667. The next prime is 2401089689. The reversal of 2401089684 is 4869801042.

2401089684 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24010896842 = 11530463341222439712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401089689) 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, 2262514 + ... + 2263574.

It is an arithmetic number, because the mean of its divisors is an integer number (69136200).

Almost surely, 22401089684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401089684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318537600).

2401089684 is an abundant number, since it is smaller than the sum of its proper divisors (4235985516).

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

2401089684 is a wasteful number, since it uses less digits than its factorization.

2401089684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2401089684 is about 49000.9151343115. The cubic root of 2401089684 is about 1339.0685001646.

The spelling of 2401089684 in words is "two billion, four hundred one million, eighty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 929 1061 1218 1858 2122 2436 2787 3183 3716 4244 5574 6366 6503 7427 11148 12732 13006 14854 19509 22281 26012 26941 29708 30769 39018 44562 53882 61538 78036 80823 89124 92307 107764 123076 161646 184614 188587 215383 323292 369228 377174 430766 565761 646149 754348 861532 985669 1131522 1292298 1971338 2263044 2584596 2957007 3942676 5914014 6899683 11828028 13799366 20699049 27598732 28584401 41398098 57168802 82796196 85753203 114337604 171506406 200090807 343012812 400181614 600272421 800363228 1200544842 2401089684