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2440660420 = 22511171095987
BaseRepresentation
bin1001000101111001…
…1000010111000100
320022002112101200101
42101132120113010
514444302113140
61042103453444
7114324162022
oct22136302704
96262471611
102440660420
111042764330
12581457284
132cb853c83
14192205712
15e440899a
hex917985c4

2440660420 has 96 divisors (see below), whose sum is σ = 5975544960. Its totient is φ = 827504640.

The previous prime is 2440660393. The next prime is 2440660459. The reversal of 2440660420 is 240660442.

It is a super-3 number, since 3×24406604203 (a number of 29 digits) contains 333 as substring.

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, 404667 + ... + 410653.

It is an arithmetic number, because the mean of its divisors is an integer number (62245260).

Almost surely, 22440660420 is an apocalyptic number.

2440660420 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 2440660420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987772480).

2440660420 is an abundant number, since it is smaller than the sum of its proper divisors (3534884540).

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

2440660420 is a wasteful number, since it uses less digits than its factorization.

2440660420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2440660420 is about 49403.0405946840. The cubic root of 2440660420 is about 1346.3845501187.

The spelling of 2440660420 in words is "two billion, four hundred forty million, six hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 109 110 170 187 218 220 340 374 436 545 748 935 1090 1199 1853 1870 2180 2398 3706 3740 4796 5987 5995 7412 9265 11974 11990 18530 20383 23948 23980 29935 37060 40766 59870 65857 81532 101779 101915 119740 131714 203558 203830 263428 329285 407116 407660 508895 652583 658570 1017790 1119569 1305166 1317140 2035580 2239138 2610332 3262915 4478276 5597845 6525830 7178413 11093911 11195690 13051660 14356826 22187822 22391380 28713652 35892065 44375644 55469555 71784130 110939110 122033021 143568260 221878220 244066042 488132084 610165105 1220330210 2440660420