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2420220000 = 253541119193
BaseRepresentation
bin1001000001000001…
…1010000001100000
320020200001220200210
42100100122001200
514424034020000
61040053414120
7113655346662
oct22020320140
96220056623
102420220000
111032173120
1257663a340
132c7548253
1418d604532
15e271c350
hex9041a060

2420220000 has 480 divisors, whose sum is σ = 9163566720. Its totient is φ = 552960000.

The previous prime is 2420219999. The next prime is 2420220013. The reversal of 2420220000 is 220242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12539904 + ... + 12540096.

It is an arithmetic number, because the mean of its divisors is an integer number (19090764).

Almost surely, 22420220000 is an apocalyptic number.

2420220000 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 2420220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581783360).

2420220000 is an abundant number, since it is smaller than the sum of its proper divisors (6743346720).

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

2420220000 is a wasteful number, since it uses less digits than its factorization.

2420220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2420220000 is about 49195.7315221555. The cubic root of 2420220000 is about 1342.6153717660.

Adding to 2420220000 its reverse (220242), we get a palindrome (2420440242).

The spelling of 2420220000 in words is "two billion, four hundred twenty million, two hundred twenty thousand".