| Base | Representation |
|---|---|
| bin | 100100010001011111000… |
| … | …000001001011000000000 |
| 3 | 22211022000210121012202000 |
| 4 | 210101133000021120000 |
| 5 | 311314444233434400 |
| 6 | 5145041414024000 |
| 7 | 345042544051155 |
| oct | 44213700113000 |
| 9 | 8738023535660 |
| 10 | 2492674905600 |
| 11 | 881157000460 |
| 12 | 34311b948000 |
| 13 | 15109ac33259 |
| 14 | 88908cd022c |
| 15 | 44c909cc600 |
| hex | 2445f009600 |
2492674905600 has 960 divisors, whose sum is σ = 10006857020160. Its totient is φ = 602726400000.
The previous prime is 2492674905571. The next prime is 2492674905683. The reversal of 2492674905600 is 65094762942.
2492674905600 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 6 + 74 + 9 + 0 + 560 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×24926749056002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 95 ways as a sum of consecutive naturals, for example, 2284761055 + ... + 2284762145.
It is an arithmetic number, because the mean of its divisors is an integer number (10423809396).
Almost surely, 22492674905600 is an apocalyptic number.
2492674905600 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 2492674905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003428510080).
2492674905600 is an abundant number, since it is smaller than the sum of its proper divisors (7514182114560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2492674905600 is a wasteful number, since it uses less digits than its factorization.
2492674905600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1740 (or 1713 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 2492674905600 in words is "two trillion, four hundred ninety-two billion, six hundred seventy-four million, nine hundred five thousand, six hundred".
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