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2440040922 = 234115412531
BaseRepresentation
bin1001000101110000…
…0001000111011010
320022001100220220000
42101130001013122
514444122302142
61042042313430
7114316001634
oct22134010732
96261326800
102440040922
111042380950
125811b8876
132cb697cc7
141920c3a54
15e433514c
hex917011da

2440040922 has 80 divisors (see below), whose sum is σ = 5977930464. Its totient is φ = 737748000.

The previous prime is 2440040903. The next prime is 2440040929. The reversal of 2440040922 is 2290400442.

It is a super-2 number, since 2×24400409222 = 11907599402069220168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2440040929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 962797 + ... + 965327.

Almost surely, 22440040922 is an apocalyptic number.

2440040922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440040922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988965232).

2440040922 is an abundant number, since it is smaller than the sum of its proper divisors (3537889542).

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

2440040922 is a wasteful number, since it uses less digits than its factorization.

2440040922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2440040922 is about 49396.7703600144. The cubic root of 2440040922 is about 1346.2706256102.

The spelling of 2440040922 in words is "two billion, four hundred forty million, forty thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 541 594 891 1082 1623 1782 2531 3246 4869 5062 5951 7593 9738 11902 14607 15186 17853 22779 27841 29214 35706 43821 45558 53559 55682 68337 83523 87642 107118 136674 160677 167046 205011 250569 321354 410022 482031 501138 751707 964062 1369271 1503414 2255121 2738542 4107813 4510242 8215626 12323439 15061981 24646878 30123962 36970317 45185943 73940634 90371886 110910951 135557829 221821902 271115658 406673487 813346974 1220020461 2440040922