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2240421411000 = 233536598291367
BaseRepresentation
bin100000100110100011100…
…001011011100010111000
321221011220211010222011210
4200212203201123202320
5243201340340123000
64433122502123120
7320602505531253
oct40464341334270
97834824128153
102240421411000
1179418052a383
123022607204a0
1313336a032b06
147a6190b809a
153d429e2b350
hex209a385b8b8

2240421411000 has 256 divisors, whose sum is σ = 7014294144000. Its totient is φ = 595383667200.

The previous prime is 2240421410959. The next prime is 2240421411001. The reversal of 2240421411000 is 1141240422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240421411001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1638932317 + ... + 1638933683.

It is an arithmetic number, because the mean of its divisors is an integer number (27399586500).

Almost surely, 22240421411000 is an apocalyptic number.

2240421411000 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 2240421411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507147072000).

2240421411000 is an abundant number, since it is smaller than the sum of its proper divisors (4773872733000).

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

2240421411000 is a wasteful number, since it uses less digits than its factorization.

2240421411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2240421411000 its reverse (1141240422), we get a palindrome (2241562651422).

The spelling of 2240421411000 in words is "two trillion, two hundred forty billion, four hundred twenty-one million, four hundred eleven thousand".