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2461380220 = 2251322925111
BaseRepresentation
bin1001001010110101…
…1010111001111100
320100112112001220101
42102231122321330
520020103131340
61044123530444
7114665246425
oct22255327174
96315461811
102461380220
111053426432
12588389a24
13302c29c00
14194c7a64c
15e614cc9a
hex92b5ae7c

2461380220 has 72 divisors (see below), whose sum is σ = 5790324960. Its totient is φ = 877443840.

The previous prime is 2461380197. The next prime is 2461380221. The reversal of 2461380220 is 220831642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461380221) 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, 85465 + ... + 110575.

It is an arithmetic number, because the mean of its divisors is an integer number (80421180).

Almost surely, 22461380220 is an apocalyptic number.

2461380220 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 2461380220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895162480).

2461380220 is an abundant number, since it is smaller than the sum of its proper divisors (3328944740).

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

2461380220 is a wasteful number, since it uses less digits than its factorization.

2461380220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25175 (or 25160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2461380220 is about 49612.2990799660. The cubic root of 2461380220 is about 1350.1838286479.

The spelling of 2461380220 in words is "two billion, four hundred sixty-one million, three hundred eighty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 169 260 290 338 377 580 676 754 845 1508 1690 1885 3380 3770 4901 7540 9802 19604 24505 25111 49010 50222 98020 100444 125555 251110 326443 502220 652886 728219 1305772 1456438 1632215 2912876 3264430 3641095 4243759 6528860 7282190 8487518 9466847 14564380 16975036 18933694 21218795 37867388 42437590 47334235 84875180 94668470 123069011 189336940 246138022 492276044 615345055 1230690110 2461380220