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2464000020 = 223354562963
BaseRepresentation
bin1001001011011101…
…1010100000010100
320100201110011121000
42102313122200110
520021241000040
61044300023300
7115026440346
oct22267324024
96321404530
102464000020
111054955759
12589231b30
133036364a1
1419535d296
15e64b9130
hex92dda814

2464000020 has 48 divisors (see below), whose sum is σ = 7665779520. Its totient is φ = 657066528.

The previous prime is 2463999991. The next prime is 2464000057. The reversal of 2464000020 is 200004642.

2464000020 is a `hidden beast` number, since 2 + 4 + 640 + 0 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2463999957 and 2464000002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2280942 + ... + 2282021.

It is an arithmetic number, because the mean of its divisors is an integer number (159703740).

Almost surely, 22464000020 is an apocalyptic number.

2464000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2464000020 is an abundant number, since it is smaller than the sum of its proper divisors (5201779500).

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

2464000020 is a wasteful number, since it uses less digits than its factorization.

2464000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562981 (or 4562973 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2464000020 is about 49638.6947854192. The cubic root of 2464000020 is about 1350.6626869932.

Adding to 2464000020 its reverse (200004642), we get a palindrome (2664004662).

The spelling of 2464000020 in words is "two billion, four hundred sixty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4562963 9125926 13688889 18251852 22814815 27377778 41066667 45629630 54755556 68444445 82133334 91259260 123200001 136888890 164266668 205333335 246400002 273777780 410666670 492800004 616000005 821333340 1232000010 2464000020