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2481920 = 2857277
BaseRepresentation
bin1001011101111100000000
311200002112222
421131330000
51113410140
6125110212
730044630
oct11357400
94602488
102481920
111445781
129b8368
1368b8bc
144886c0
153405b5
hex25df00

2481920 has 72 divisors (see below), whose sum is σ = 6818784. Its totient is φ = 847872.

The previous prime is 2481911. The next prime is 2481959. The reversal of 2481920 is 291842.

It is a self number, because there is not a number n which added to its sum of digits gives 2481920.

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, 8822 + ... + 9098.

22481920 is an apocalyptic number.

2481920 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 2481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409392).

2481920 is an abundant number, since it is smaller than the sum of its proper divisors (4336864).

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

2481920 is an equidigital number, since it uses as much as digits as its factorization.

2481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2481920 is about 1575.4110574704. The cubic root of 2481920 is about 135.3929111255.

The spelling of 2481920 in words is "two million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 277 280 320 448 554 560 640 896 1108 1120 1280 1385 1792 1939 2216 2240 2770 3878 4432 4480 5540 7756 8864 8960 9695 11080 15512 17728 19390 22160 31024 35456 38780 44320 62048 70912 77560 88640 124096 155120 177280 248192 310240 354560 496384 620480 1240960 2481920