| Base | Representation |
|---|---|
| bin | 100101100011100110001… |
| … | …011110111111100010000 |
| 3 | 100010201121100000101000000 |
| 4 | 211203212023313330100 |
| 5 | 314241031104000000 |
| 6 | 5253342250130000 |
| 7 | 354313451111400 |
| oct | 45434613677420 |
| 9 | 10121540011000 |
| 10 | 2580842250000 |
| 11 | 905590193243 |
| 12 | 358226a20900 |
| 13 | 1594ac170821 |
| 14 | 8ccb0654800 |
| 15 | 47201000000 |
| hex | 258e62f7f10 |
2580842250000 has 2205 divisors, whose sum is σ = 11580293508627. Its totient is φ = 555206400000.
The previous prime is 2580842249981. The next prime is 2580842250023. The reversal of 2580842250000 is 522480852.
The square root of 2580842250000 is 1606500.
It is a perfect power (a square), and thus also a powerful number.
2580842250000 is a `hidden beast` number, since 2 + 58 + 0 + 84 + 22 + 500 + 0 + 0 = 666.
It can be written as a sum of positive squares in 10 ways, for example, as 2537304923664 + 43537326336 = 1592892^2 + 208656^2 .
It is a tau number, because it is divible by the number of its divisors (2205).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 440 ways as a sum of consecutive naturals, for example, 151814249992 + ... + 151814250008.
Almost surely, 22580842250000 is an apocalyptic number.
2580842250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2580842250000 is the 1606500-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2580842250000
2580842250000 is an abundant number, since it is smaller than the sum of its proper divisors (8999451258627).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2580842250000 is an frugal number, since it uses more digits than its factorization.
2580842250000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 104 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 51200, while the sum is 36.
Multiplying 2580842250000 by its sum of digits (36), we get a square (92910321000000 = 96390002).
2580842250000 divided by its sum of digits (36) gives a square (71690062500 = 2677502).
The spelling of 2580842250000 in words is "two trillion, five hundred eighty billion, eight hundred forty-two million, two hundred fifty thousand".
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