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2420205024 = 25340162869
BaseRepresentation
bin1001000001000001…
…0110010111100000
320020200001011011010
42100100112113200
514424033030044
61040053220520
7113655255216
oct22020262740
96220034133
102420205024
111032162946
12576631740
132c75414a3
1418d5dccb6
15e2717bb9
hex904165e0

2420205024 has 48 divisors (see below), whose sum is σ = 6368982480. Its totient is φ = 804710400.

The previous prime is 2420205019. The next prime is 2420205037. The reversal of 2420205024 is 4205020242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7062 + ... + 69930.

It is an arithmetic number, because the mean of its divisors is an integer number (132687135).

Almost surely, 22420205024 is an apocalyptic number.

2420205024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2420205024 is an abundant number, since it is smaller than the sum of its proper divisors (3948777456).

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

2420205024 is a wasteful number, since it uses less digits than its factorization.

2420205024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63283 (or 63275 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2420205024 is about 49195.5793135928. The cubic root of 2420205024 is about 1342.6126024517.

Adding to 2420205024 its reverse (4205020242), we get a palindrome (6625225266).

The spelling of 2420205024 in words is "two billion, four hundred twenty million, two hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 401 802 1203 1604 2406 3208 4812 6416 9624 12832 19248 38496 62869 125738 188607 251476 377214 502952 754428 1005904 1508856 2011808 3017712 6035424 25210469 50420938 75631407 100841876 151262814 201683752 302525628 403367504 605051256 806735008 1210102512 2420205024