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2492820 = 22325111259
BaseRepresentation
bin1001100000100110010100
311200122111200
421200212110
51114232240
6125232500
730121461
oct11404624
94618450
102492820
111452990
12a02730
13693855
1448c668
15343930
hex260994

2492820 has 72 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 603840.

The previous prime is 2492813. The next prime is 2492821. The reversal of 2492820 is 282942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351 + ... + 2609.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

22492820 is an apocalyptic number.

2492820 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 2492820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2492820 is an abundant number, since it is smaller than the sum of its proper divisors (5762700).

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

2492820 is a wasteful number, since it uses less digits than its factorization.

2492820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2492820 is about 1578.8666821489. The cubic root of 2492820 is about 135.5908261212.

The spelling of 2492820 in words is "two million, four hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1259 1980 2518 3777 5036 6295 7554 11331 12590 13849 15108 18885 22662 25180 27698 37770 41547 45324 55396 56655 69245 75540 83094 113310 124641 138490 166188 207735 226620 249282 276980 415470 498564 623205 830940 1246410 2492820