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2481440 = 255131193
BaseRepresentation
bin1001011101110100100000
311200001220012
421131310200
51113401230
6125104052
730043343
oct11356440
94601805
102481440
111445385
129b8028
1368b610
1448845a
15340395
hex25dd20

2481440 has 48 divisors (see below), whose sum is σ = 6318648. Its totient is φ = 915456.

The previous prime is 2481433. The next prime is 2481449. The reversal of 2481440 is 441842.

It can be written as a sum of positive squares in 4 ways, for example, as 1567504 + 913936 = 1252^2 + 956^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2481449) 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, 1484 + ... + 2676.

22481440 is an apocalyptic number.

2481440 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 2481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159324).

2481440 is an abundant number, since it is smaller than the sum of its proper divisors (3837208).

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

2481440 is a wasteful number, since it uses less digits than its factorization.

2481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2481440 is about 1575.2587089110. The cubic root of 2481440 is about 135.3841822936.

The spelling of 2481440 in words is "two million, four hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1193 2080 2386 4772 5965 9544 11930 15509 19088 23860 31018 38176 47720 62036 77545 95440 124072 155090 190880 248144 310180 496288 620360 1240720 2481440