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2489889900 = 2235247917327
BaseRepresentation
bin1001010001101000…
…1011010001101100
320102112011111211110
42110122023101230
520044402434100
61051022552020
7115462500141
oct22432132154
96375144743
102489889900
111068529153
12595a38610
13308acc744
1419897c3c8
15e88d0250
hex9468b46c

2489889900 has 72 divisors (see below), whose sum is σ = 7219537920. Its totient is φ = 662546240.

The previous prime is 2489889889. The next prime is 2489889901. The reversal of 2489889900 is 99889842.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2489889901) 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, 135037 + ... + 152363.

It is an arithmetic number, because the mean of its divisors is an integer number (100271360).

Almost surely, 22489889900 is an apocalyptic number.

2489889900 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 2489889900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609768960).

2489889900 is an abundant number, since it is smaller than the sum of its proper divisors (4729648020).

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

2489889900 is a wasteful number, since it uses less digits than its factorization.

2489889900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17823 (or 17816 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 2489889900 is about 49898.7965786751. The cubic root of 2489889900 is about 1355.3768009336.

The spelling of 2489889900 in words is "two billion, four hundred eighty-nine million, eight hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 479 958 1437 1916 2395 2874 4790 5748 7185 9580 11975 14370 17327 23950 28740 34654 35925 47900 51981 69308 71850 86635 103962 143700 173270 207924 259905 346540 433175 519810 866350 1039620 1299525 1732700 2599050 5198100 8299633 16599266 24898899 33198532 41498165 49797798 82996330 99595596 124494495 165992660 207490825 248988990 414981650 497977980 622472475 829963300 1244944950 2489889900