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2509040 = 24579397
BaseRepresentation
bin1001100100100011110000
311201110202102
421210203300
51120242130
6125435532
730216662
oct11444360
94643672
102509040
111464096
12a0bba8
1369b051
14494532
15348645
hex2648f0

2509040 has 40 divisors (see below), whose sum is σ = 5922240. Its totient is φ = 988416.

The previous prime is 2509037. The next prime is 2509061. The reversal of 2509040 is 409052.

It is a tau number, because it is divible by the number of its divisors (40).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6122 + ... + 6518.

It is an arithmetic number, because the mean of its divisors is an integer number (148056).

22509040 is an apocalyptic number.

2509040 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 2509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961120).

2509040 is an abundant number, since it is smaller than the sum of its proper divisors (3413200).

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

2509040 is a wasteful number, since it uses less digits than its factorization.

2509040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2509040 is about 1583.9949494869. The cubic root of 2509040 is about 135.8842729474.

The spelling of 2509040 in words is "two million, five hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 397 632 790 794 1264 1580 1588 1985 3160 3176 3970 6320 6352 7940 15880 31363 31760 62726 125452 156815 250904 313630 501808 627260 1254520 2509040