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2404017040 = 245237691699
BaseRepresentation
bin1000111101001010…
…0110001110010000
320012112120201102011
42033102212032100
514410412021130
61034314232304
7113400544015
oct21722461620
96175521364
102404017040
111024006647
12571125694
132c40941b9
1418b3c770c
15e10bb52a
hex8f4a6390

2404017040 has 80 divisors (see below), whose sum is σ = 5843376000. Its totient is φ = 918061056.

The previous prime is 2404017037. The next prime is 2404017059. The reversal of 2404017040 is 407104042.

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

It is a super-2 number, since 2×24040170402 = 11558595857220723200, which contains 22 as substring.

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, 1414111 + ... + 1415809.

It is an arithmetic number, because the mean of its divisors is an integer number (73042200).

Almost surely, 22404017040 is an apocalyptic number.

2404017040 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 2404017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921688000).

2404017040 is an abundant number, since it is smaller than the sum of its proper divisors (3439358960).

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

2404017040 is a wasteful number, since it uses less digits than its factorization.

2404017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 2404017040 is about 49030.7764572416. The cubic root of 2404017040 is about 1339.6124668313.

The spelling of 2404017040 in words is "two billion, four hundred four million, seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 769 920 1538 1699 1840 3076 3398 3845 6152 6796 7690 8495 12304 13592 15380 16990 17687 27184 30760 33980 35374 39077 61520 67960 70748 78154 88435 135920 141496 156308 176870 195385 282992 312616 353740 390770 625232 707480 781540 1306531 1414960 1563080 2613062 3126160 5226124 6532655 10452248 13065310 20904496 26130620 30050213 52261240 60100426 104522480 120200852 150251065 240401704 300502130 480803408 601004260 1202008520 2404017040