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2141574240 = 2535133111071
BaseRepresentation
bin111111110100101…
…1101010001100000
312112020202020120110
41333221131101200
513341220333430
6552301211320
7104033036451
oct17751352140
95466666513
102141574240
119a9954473
124b9260b40
132818b60c0
141645cd128
15c802a7b0
hex7fa5d460

2141574240 has 192 divisors, whose sum is σ = 7499907072. Its totient is φ = 510105600.

The previous prime is 2141574191. The next prime is 2141574241. The reversal of 2141574240 is 424751412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2141574198 and 2141574207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141574241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187905 + ... + 198975.

It is an arithmetic number, because the mean of its divisors is an integer number (39062016).

Almost surely, 22141574240 is an apocalyptic number.

2141574240 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 2141574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749953536).

2141574240 is an abundant number, since it is smaller than the sum of its proper divisors (5358332832).

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

2141574240 is a wasteful number, since it uses less digits than its factorization.

2141574240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133 (or 11125 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2141574240 is about 46277.1459794141. The cubic root of 2141574240 is about 1288.9746554545.

The spelling of 2141574240 in words is "two billion, one hundred forty-one million, five hundred seventy-four thousand, two hundred forty".