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2464064260 = 2257431912143
BaseRepresentation
bin1001001011011110…
…1010001100000100
320100201120102201021
42102313222030010
520021300024020
61044301240524
7115030125550
oct22267521404
96321512637
102464064260
111054999a49
12589263144
133036597b8
14195378860
15e64cd1aa
hex92dea304

2464064260 has 96 divisors (see below), whose sum is σ = 6085804032. Its totient is φ = 820471680.

The previous prime is 2464064249. The next prime is 2464064261. The reversal of 2464064260 is 624604642.

It is a super-2 number, since 2×24640642602 = 12143225354818695200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2464064261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148749 + ... + 1150891.

It is an arithmetic number, because the mean of its divisors is an integer number (63393792).

Almost surely, 22464064260 is an apocalyptic number.

2464064260 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 2464064260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042902016).

2464064260 is an abundant number, since it is smaller than the sum of its proper divisors (3621739772).

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

2464064260 is a wasteful number, since it uses less digits than its factorization.

2464064260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 2464064260 is about 49639.3418570392. The cubic root of 2464064260 is about 1350.6744247930.

The spelling of 2464064260 in words is "two billion, four hundred sixty-four million, sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 191 215 301 382 430 602 764 860 955 1204 1337 1505 1910 2143 2674 3010 3820 4286 5348 6020 6685 8213 8572 10715 13370 15001 16426 21430 26740 30002 32852 41065 42860 57491 60004 75005 82130 92149 114982 150010 164260 184298 229964 287455 300020 368596 409313 460745 574910 645043 818626 921490 1149820 1290086 1637252 1842980 2046565 2580172 2865191 3225215 4093130 5730382 6450430 8186260 11460764 12900860 14325955 17600459 28651910 35200918 57303820 70401836 88002295 123203213 176004590 246406426 352009180 492812852 616016065 1232032130 2464064260