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2462240 = 255111399
BaseRepresentation
bin1001011001001000100000
311122002120002
421121020200
51112242430
6124435132
726633354
oct11311040
94562502
102462240
111431a10
129a8aa8
13682961
14481464
15339845
hex259220

2462240 has 48 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 894720.

The previous prime is 2462233. The next prime is 2462261. The reversal of 2462240 is 422642.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

22462240 is an apocalyptic number.

2462240 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 2462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2462240 is an abundant number, since it is smaller than the sum of its proper divisors (3888160).

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

2462240 is a wasteful number, since it uses less digits than its factorization.

2462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2462240 is about 1569.1526375723. The cubic root of 2462240 is about 135.0341020387.

Adding to 2462240 its reverse (422642), we get a palindrome (2884882).

The spelling of 2462240 in words is "two million, four hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1399 1760 2798 5596 6995 11192 13990 15389 22384 27980 30778 44768 55960 61556 76945 111920 123112 153890 223840 246224 307780 492448 615560 1231120 2462240