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2420490240 = 2143257267
BaseRepresentation
bin1001000001000101…
…1100000000000000
320020200120122101200
42100101130000000
514424121141430
61040103301200
7113660553600
oct22021340000
96220518350
102420490240
111032338163
1257674a800
132c761125c
1418d674c00
15e2772460
hex9045c000

2420490240 has 540 divisors, whose sum is σ = 9906381576. Its totient is φ = 544997376.

The previous prime is 2420490223. The next prime is 2420490269. The reversal of 2420490240 is 420940242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36126687 + ... + 36126753.

Almost surely, 22420490240 is an apocalyptic number.

2420490240 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 2420490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953190788).

2420490240 is an abundant number, since it is smaller than the sum of its proper divisors (7485891336).

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

2420490240 is an equidigital number, since it uses as much as digits as its factorization.

2420490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2420490240 is about 49198.4780252398. The cubic root of 2420490240 is about 1342.6653417239.

The spelling of 2420490240 in words is "two billion, four hundred twenty million, four hundred ninety thousand, two hundred forty".