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2420644000 = 25532512411
BaseRepresentation
bin1001000001001000…
…0001100010100000
320020200212110022111
42100102001202200
514424141102000
61040110445104
7113662064065
oct22022014240
96220773274
102420644000
111032432735
12576803794
132c7666238
1418d6b4c6c
15e27a2cba
hex904818a0

2420644000 has 96 divisors (see below), whose sum is σ = 5973694272. Its totient is φ = 964000000.

The previous prime is 2420643919. The next prime is 2420644027. The reversal of 2420644000 is 4460242.

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, 1002795 + ... + 1005205.

It is an arithmetic number, because the mean of its divisors is an integer number (62225982).

Almost surely, 22420644000 is an apocalyptic number.

2420644000 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 2420644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986847136).

2420644000 is an abundant number, since it is smaller than the sum of its proper divisors (3553050272).

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

2420644000 is a wasteful number, since it uses less digits than its factorization.

2420644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2420644000 is about 49200.0406503897. The cubic root of 2420644000 is about 1342.6937717568.

The spelling of 2420644000 in words is "two billion, four hundred twenty million, six hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 251 400 500 502 800 1000 1004 1255 2000 2008 2411 2510 4000 4016 4822 5020 6275 8032 9644 10040 12055 12550 19288 20080 24110 25100 31375 38576 40160 48220 50200 60275 62750 77152 96440 100400 120550 125500 192880 200800 241100 251000 301375 385760 482200 502000 602750 605161 964400 1004000 1205500 1210322 1928800 2411000 2420644 3025805 4822000 4841288 6051610 9644000 9682576 12103220 15129025 19365152 24206440 30258050 48412880 60516100 75645125 96825760 121032200 151290250 242064400 302580500 484128800 605161000 1210322000 2420644000