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2875098240 = 27355719139
BaseRepresentation
bin1010101101011110…
…1000010010000000
321102101000010100000
42223113220102000
521342011120430
61153143200000
7131150634420
oct25327502200
97371003300
102875098240
111245a10953
12682a46000
1336a862481
141d3bb2480
1511c620e60
hexab5e8480

2875098240 has 768 divisors, whose sum is σ = 12475008000. Its totient is φ = 618098688.

The previous prime is 2875098199. The next prime is 2875098269. The reversal of 2875098240 is 428905782.

2875098240 is a `hidden beast` number, since 28 + 7 + 509 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 20684091 + ... + 20684229.

It is an arithmetic number, because the mean of its divisors is an integer number (16243500).

Almost surely, 22875098240 is an apocalyptic number.

2875098240 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 2875098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237504000).

2875098240 is an abundant number, since it is smaller than the sum of its proper divisors (9599909760).

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

2875098240 is a wasteful number, since it uses less digits than its factorization.

2875098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2875098240 is about 53619.9425587160. The cubic root of 2875098240 is about 1421.9496857698.

The spelling of 2875098240 in words is "two billion, eight hundred seventy-five million, ninety-eight thousand, two hundred forty".