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2520480 = 25355989
BaseRepresentation
bin1001100111010110100000
311202001110010
421213112200
51121123410
6130004520
730265224
oct11472640
94661403
102520480
111471746
12a16740
136a3311
14498784
1534bc20
hex2675a0

2520480 has 96 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 653312.

The previous prime is 2520457. The next prime is 2520481. The reversal of 2520480 is 840252.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2520481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28276 + ... + 28364.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

22520480 is an apocalyptic number.

2520480 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 2520480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

2520480 is an abundant number, since it is smaller than the sum of its proper divisors (5644320).

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

2520480 is a wasteful number, since it uses less digits than its factorization.

2520480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2520480 is about 1587.6019652293. The cubic root of 2520480 is about 136.0904818875.

It can be divided in two parts, 25 and 20480, that multiplied together give a cube (512000 = 803).

The spelling of 2520480 in words is "two million, five hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 89 96 118 120 160 177 178 236 240 267 295 354 356 445 472 480 534 590 708 712 885 890 944 1068 1180 1335 1416 1424 1770 1780 1888 2136 2360 2670 2832 2848 3540 3560 4272 4720 5251 5340 5664 7080 7120 8544 9440 10502 10680 14160 14240 15753 21004 21360 26255 28320 31506 42008 42720 52510 63012 78765 84016 105020 126024 157530 168032 210040 252048 315060 420080 504096 630120 840160 1260240 2520480