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2421075000 = 23355191699
BaseRepresentation
bin1001000001001110…
…1010110000111000
320020201200100112110
42100103222300320
514424243400000
61040124012320
7113665540461
oct22023526070
96221610473
102421075000
1110326a7533
125769910a0
132c7787476
1418d787d68
15e283a850
hex904eac38

2421075000 has 192 divisors, whose sum is σ = 7968240000. Its totient is φ = 611280000.

The previous prime is 2421074993. The next prime is 2421075047. The reversal of 2421075000 is 5701242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424151 + ... + 1425849.

It is an arithmetic number, because the mean of its divisors is an integer number (41501250).

Almost surely, 22421075000 is an apocalyptic number.

2421075000 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 2421075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984120000).

2421075000 is an abundant number, since it is smaller than the sum of its proper divisors (5547165000).

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

2421075000 is a wasteful number, since it uses less digits than its factorization.

2421075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2421075000 is about 49204.4205331188. The cubic root of 2421075000 is about 1342.7734567047.

Adding to 2421075000 its reverse (5701242), we get a palindrome (2426776242).

The spelling of 2421075000 in words is "two billion, four hundred twenty-one million, seventy-five thousand".