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2424480 = 25355051
BaseRepresentation
bin1001001111111010100000
311120011202120
421033322200
51110040410
6123544240
726415312
oct11177240
94504676
102424480
111406603
1298b080
1366b706
144717b2
1532d570
hex24fea0

2424480 has 48 divisors (see below), whose sum is σ = 7638624. Its totient is φ = 646400.

The previous prime is 2424439. The next prime is 2424481. The reversal of 2424480 is 844242.

2424480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2424480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2046 + ... + 3005.

It is an arithmetic number, because the mean of its divisors is an integer number (159138).

22424480 is an apocalyptic number.

2424480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424480 is an abundant number, since it is smaller than the sum of its proper divisors (5214144).

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

2424480 is a wasteful number, since it uses less digits than its factorization.

2424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2424480 is about 1557.0741793505. The cubic root of 2424480 is about 134.3402654048.

The spelling of 2424480 in words is "two million, four hundred twenty-four thousand, four hundred eighty".

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 5051 10102 15153 20204 25255 30306 40408 50510 60612 75765 80816 101020 121224 151530 161632 202040 242448 303060 404080 484896 606120 808160 1212240 2424480