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2440422240 = 25355084213
BaseRepresentation
bin1001000101110101…
…1110001101100000
320022002002021221220
42101131132031200
514444222002430
61042054415040
7114322150434
oct22135361540
96262067856
102440422240
111042611393
12581361480
132cb79c739
141921829c4
15e43ad110
hex9175e360

2440422240 has 48 divisors (see below), whose sum is σ = 7687331568. Its totient is φ = 650779136.

The previous prime is 2440422217. The next prime is 2440422247. The reversal of 2440422240 is 422240442.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2440422240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440422247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2541627 + ... + 2542586.

It is an arithmetic number, because the mean of its divisors is an integer number (160152741).

Almost surely, 22440422240 is an apocalyptic number.

2440422240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440422240 is an abundant number, since it is smaller than the sum of its proper divisors (5246909328).

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

2440422240 is a wasteful number, since it uses less digits than its factorization.

2440422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084231 (or 5084223 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2440422240 is about 49400.6299554975. The cubic root of 2440422240 is about 1346.3407515493.

Adding to 2440422240 its reverse (422240442), we get a palindrome (2862662682).

The spelling of 2440422240 in words is "two billion, four hundred forty million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5084213 10168426 15252639 20336852 25421065 30505278 40673704 50842130 61010556 76263195 81347408 101684260 122021112 152526390 162694816 203368520 244042224 305052780 406737040 488084448 610105560 813474080 1220211120 2440422240